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  • Bouncing loop quantum cosmology from F(T) gravity

     Amoros Torrent, Jaume; Haro Cases, Jaime; Odintsov, Sergei D.
    Physical review D
    Date of publication: 2013-05
    Journal article

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    The big bang singularity could be understood as a breakdown of Einstein¿s general relativity at very high energies. By adopting this viewpoint, other theories that implement Einstein cosmology at high energies might solve the problem of the primeval singularity. One of them is loop quantum cosmology (LQC) with a small cosmological constant that models a universe moving along an ellipse, which prevents singularities like the big bang or the big rip, in the phase space (H,¿), where H is the Hubble parameter and ¿ the energy density of the universe. Using LQC one considers a model universe filled by radiation and matter where, due to the cosmological constant, there are a de Sitter and an anti¿de Sitter solution. This means that one obtains a bouncing nonsingular universe which is in the contracting phase at early times. After leaving this phase, i.e., after bouncing, it passes trough a radiation- and matter-dominated phase and finally at late times it expands in an accelerated way (current cosmic acceleration). This model does not suffer from the horizon and flatness problems as in big bang cosmology, where a period of inflation that increases the size of our universe in more than 60 e-folds is needed in order to solve both problems. The model has two mechanisms to avoid these problems: the evolution of the universe through a contracting phase and a period of super inflation (H¿>0).

  • Access to the full text
    Nonsingular models of universes in teleparallel theories  Open access

     Haro Cases, Jaime; Amoros Torrent, Jaume
    Physical review letters
    Date of publication: 2013-02-14
    Journal article

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    Different models of universes are considered in the context of teleparallel theories. Assuming that the universe is filled by a fluid with an equation of state P ¼ f ð Þ , for different teleparallel theories and different equation of state we study its dynamics. Two particular cases are studied in detail: in the first one we consider a function f with two zeros (two de Sitter solutions) that mimics a huge cosmological constant at early times and a pressureless fluid at late times; in the second one, in the context of loop quantum cosmology with a small cosmological constant, we consider a pressureless fluid ( P ¼ 0 , f ð Þ¼ ) which means there are de Sitter and anti–de Sitter solutions. In both cases one obtains a nonsingular universe that at early times is in an inflationary phase; after leaving this phase, it passes trough a matter dominated phase and finally at late times it expands in an accelerated way

    PACS Numbers: 04.50.Kd, 98.80.Jk

  • GEOMATRIA ALGEBRAICA, SIMPLECTICA, ARITMETICA Y APLICACIONES

     Alberich Carramiñana, Maria; Amoros Torrent, Jaume; Barja Yañez, Miguel Angel; Elgueta Montó, Josep; Fernández Sánchez, Jesús; Ventura González Alonso, Daniel; Barbieri Solha, Romero; Miranda Galceran, Eva; Pascual Gainza, Pedro; Roig Marti, Agustin; Roig Maranges, Abdo; Feliu Trijueque, Elsienda; Gálvez Carrillo, Maria Immaculada; Casanellas Rius, Marta
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  • Sudden singularities in semiclassical gravity

     Haro Cases, Jaime; Amoros Torrent, Jaume; Elizalde, Emilio
    Physical review D (Particles, Fields, Gravitation and Cosmology)
    Date of publication: 2012-06-19
    Journal article

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    It has been claimed in a recent paper [J. D. Barrow, A. B. Batista, J. C. Fabris, M. J. S. Houndjo, and G. Dito, Phys. Rev. D 84, 123518 (2011).] that sudden singularities will survive in semiclassical gravity. This issue is here carefully reviewed, pointing out that such conclusion, even if valid under some specific conditions, does not stand in other cases. An explicit example is studied in detail to support our statement, stemming from these other situations, that quantum effects may in fact drastically modify the behavior of sudden singularities.

  • Fate of the phantom dark energy universe in semiclassical gravity. II. Scalar phantom fields

     Haro Cases, Jaime; Amoros Torrent, Jaume; Elizalde, Emilio
    Physical review D (Particles, Fields, Gravitation and Cosmology)
    Date of publication: 2012-10-16
    Journal article

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  • Deformations of Kahler manifolds with nonvanishing holomorphic vector fields

     Amoros Torrent, Jaume; Manjarin, Monica; Nicolau, Marcel
    Journal of the European Mathematical Society
    Date of publication: 2012
    Journal article

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  • Monodromías Geométricas en Familias de Curvas de Género 4  Open access

     Berna Sepulveda, Isabel Silvana
    Defense's date: 2012-02-10
    Department of Applied Mathematics I, Universitat Politècnica de Catalunya
    Theses

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    The goal of the thesis is the effective computation of the geometric monodromy, equivalently the monodromy in the fundamental group, for families of compact connected Riemann surfaces (complex algebraic curves) of genus 4. This extends previous work up to genus 2, by using the trigonal structure (triple cover of the Riemann sphere) of genus 4 curves: they have 2 such structures, so a 2:1 base change for any family of them allows the glueing of the trigonal structures to form a family of trigonal covers of the Riemann sphere. The generic trigonal genus 4 covering has branching in 12 simple points. In a family of trigonal covers these form a branching divisor of relative degree 12, whose braid monodromy determines the geometric monodromy of the family. The main theoretic result of the thesis is the construction of a universal family of trigonal genus 4 curves, inside the Hurwitz scheme of trigonal covers but with a lower dimension, computable geometric monodromy, and with a topological universality property: any family of trigonal genus 4 curves is obtained from this universal family by pullback plus deformation of a map to its base. This theorem is completed with the computation of the monodromy in the fundamental group for this universal family. The computation is derived from the braid monodromy of the branching divisor, which is then lifted to the trigonal covers. A gap remains in the computation of the monodromy for this universal family: it is a conjecture about the stabilizer of a braid group action on the Hurwitz scheme that remains open. If the conjecture is true then the computed geometric monodromy is that of the universal trigonal family. If the conjecture is false the monodromy computations in the thesis remain valid, but have to be completed with analogous computations to cover all the universal family. The theoretical results in the thesis are completed with effective computation tools for them. A library of functions for the program Singular is developed, to find the trigonal structure of genus 4 curves from their canonical equation, and with help of a Pari-GP procedure, to find the equation of the branching divisor in a family of canonical genus 4 curves. This library is applied to examples of geometric interest: - the Lefschetz pencil of hyperplane sections in the genus 4 projective K3 surface (whose geometric monodromy is necessary to prove Seidel¿s version of the Mirror Symmetry conjecture on these surfaces). - a 1-parameter deformation of the Bring curve. Moreover, a library of functions for the program Matlab is developed, in order to compute the braid monodromy of a divisor in C^2. It is based on the integration of a system of complex-valued ordinary differential equations which determines the branches of the divisor. This is done with a Runge-Kutta method with variable step size regulated by the equation of the divisor, used as a first integral. The ode system is integrated over a path system formed by the boundaries of the Voronoi cells of the branching values of the divisor. The braid monodromy is then determined from the evolution of the branches of the divisor along this path system. This library is successfully applied to compute the braid monodromy of academic examples of degrees 6-8 in the thesis.

    El objetivo de la tesis es el calculo efectivo de la monodromía geométrica y en el grupo fundamental, de familias de superficies de Riemann compactas conexas (curvas algebraicas complejas) de género 4. Este estudio se extiende a otros desarrollados hasta la fecha en los marcos de la Geometría Algebraica, Topología Diferencial y Simpléctica, que estudian esta monodromía geométrica y en el grupo fundamental para familias de superficies de Riemann de hasta género 2, usando la estructura elíptica/hiperelíptica de tales familias. El salto de género 2 a género 4 se realiza para aprovechar la estructura trigonal (de recubrimiento triple de la esfera de Riemann) que tienen las curvas en género 4. Tal curva genérica tiene dos estructuras trigonales, en una familia genérica se puede hacer un cambio de base 2:1 para conseguir pegar las estructuras de recubrimiento trigonal de las fibras y obtener una familia de recubrimientos trigonales de la esfera de Riemann. El recubrimiento trigonal genérico para curvas de género 4 tiene 12 puntos de ramificación simple. Esto significa, en una familia de recubrimientos trigonales hay un divisor de grado relativo 12 en la familia de esferas de Riemann recubiertas, denominado divisor de ramificación, tal que la monodromía de trenzas de este divisor determina la monodromía geométrica y en el grupo fundamental de la familia. El resultado teórico principal de esta memoria es la construcción de una familia universal de curvas trigonales de género 4, bajo el esquema de recubrimientos trigonales de Hurwitz, pero de dimensión más reducida, monodromía geométrica calculable, y que mantiene una propiedad de universalidad topológica: toda familia de recubrimientos trigonales de género 4 se obtiene por pullback de una aplicación de la base a la de esta familia universal, más deformación. Completa el resultado teórico principal el cálculo de la monodromía geométrica y en el grupo fundamental de esta familia. Este cálculo se hace siguiendo la monodromía de trenzas del divisor de ramificación de la familia, y levantando esta monodromía de las esferas de Riemann a sus cubiertas triples. El cálculo de la monodromía en el grupo fundamental de la familia no ha podido ser completado desde el punto de vista lógico, debido a una conjetura sobre el estabilizador de una acción del grupo de trenzas en el esquema de Hurwitz de cubiertas triples. Sin embargo, los cálculos realizados permanecen válidos sea cual sea la respuesta; en caso de ser cierta implica que el cálculo realizado es toda la monodromía de la familia universal y lo contrario significaría que hay que añadir algunos cálculos de monodromía análogos a los aquí realizados. Los resultados teóricos de la tesis se completan con trabajo de computación para realizar cálculos efectivos de monodromía geométrica en el grupo fundamental en las familias de curvas de género 4. Primero, se desarrolla una librería de funciones para el programa Singular que hallan la estructura trigonal de curvas de género 4 a partir de su ecuación canónica y con la ayuda de un cálculo auxiliar en Pari-GP, determinan el divisor de ramificación relativo de una familia de curvas de género 4 canónicas (no hiperelípticas). En la tesis se aplica esta librería al cálculo de estructuras trigonales y divisores de ramificación en familias de curvas de género 4, tanto ejemplos académicos como familias de interés geométrico: - la familia de curvas de género 4 que describe un pincel de Lefschetz en la superficie K3 de género 4 (cuya monodromía geométrica es necesaria para demostrar la versión de Paul Seidel de la conjetura de la 'Mirror Symmetry'), - una familia de curvas de género 4 deformación de la curva de Bring (la única curva de género 4 que tiene grupo de simetrías de orden 5). Segundo, se desarrolla una librería de funciones para el programa MATLAB que calculan la monodromía de trenzas de un divisor en C^2. Este cálculo se inicia en la integración de un sistema de ecuaciones diferenciales ordinarias a valores complejos, que sigue la evolución de las ramas del divisor, para el que se ha desarrollado un integrador numérico de paso variable combinando un método de Runge-Kutta con el uso de la ecuación del divisor como integral primera de las soluciones para el control del paso. Este sistema de ecuaciones se integra sobre un sistema de generadores del grupo fundamental de la base obtenido a partir de una descomposición celular de Voronoi asociada a los valores de ramificación de la familia, y finalmente se identifica la monodromía de trenzas a partir del análisis de la posición de las ramas del divisor a lo largo de los caminos escogidos en la base. Esta librería funciona correctamente para divisores de grados hasta 6-8 en el plano. Se ilustra en la tesis mediante su aplicación a ejemplos académicos, completa con representación e identificación de las monodromías de trenzas en estos ejemplos.

  • Geometric and combinatorial aspects of Thompson's group T

     Fossas Tenas, Ariadna
    Defense's date: 2012-06-29
    Department of Applied Mathematics IV, Universitat Politècnica de Catalunya
    Theses

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  • An effective model for fast computation of current distribution in operating HTS tapes from magnetic field measurements in non-destructive testing

     Amoros Torrent, Jaume; Carrera, M.; Granados García, Xavier
    Superconductor science and technology
    Date of publication: 2012-10
    Journal article

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  • Fate of the phantom dark energy universe in semiclassical gravity

     Haro Cases, Jaime; Amoros Torrent, Jaume; Elizalde, Emilio
    Physical review D (Particles, Fields, Gravitation and Cosmology)
    Date of publication: 2011-06-24
    Journal article

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  • Comment on "Effects of quantized scalar fields in cosmological spacetimes with big rip singularities"

     Haro Cases, Jaime; Amoros Torrent, Jaume
    Physical review D (Particles, Fields, Gravitation and Cosmology)
    Date of publication: 2011-08-19
    Journal article

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  • GEOMETRÍA DE VARIEDADES ALGEBRAICAS Y APLICACIONES

     Alberich Carramiñana, Maria; Barja Yañez, Miguel Angel; Elgueta Montó, Josep; Amoros Torrent, Jaume; Fernández Sánchez, Jesús; Gonzalez Alonso, Victor; Berna Sepulveda, Isabel Silvana; Ferragut Amengual, Antoni Manel; Casanellas Rius, Marta
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  • Detection of Current Distribution in Bulk Samples With Artificial Defects From Inversion of Hall Magnetic Maps

     Carrera, M; Granados García, Xavier; Amoros Torrent, Jaume; Maynou Gil, Roger; Puig Molina, Teresa; Obradors Berenguer, Xavier
    IEEE transactions on applied superconductivity
    Date of publication: 2009-06
    Journal article

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  • GEOMETRIA DE VARIETATS I APLICACIONS

     Berna Sepulveda, Isabel Silvana; Barja Yañez, Miguel Angel; Casanellas Rius, Marta; Plans Berenguer, Bernat; Alvarez Montaner, Josep; Gonzalez Alonso, Victor; Elgueta Montó, Josep; Abío Roig, Ignasi; Amoros Torrent, Jaume; Fernández Sánchez, Jesús; Alberich Carramiñana, Maria
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  • La completació unipotent dels grups kaehlerians

     Amoros Torrent, Jaume
    Seminari de Teoria de Grups, Universitat Autònoma de Barcelona
    Presentation's date: 2008-02-28
    Presentation of work at congresses

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  • Compact K\"ahler manifolds with elliptic homotopy type

     Amoros Torrent, Jaume; Indranil, Biswas
    Date: 2008-12
    Report

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  • Riemann i les funcions de variable complexa

     Amoros Torrent, Jaume
    Jornada Riemann
    Presentation's date: 2008-02-20
    Presentation of work at congresses

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  • Homotopy Properties of Aspherical Symplectic Four-Manifolds

     Amoros Torrent, Jaume
    Seminar on Symplectic and Poisson Geometry, CRM
    Presentation's date: 2008-05-15
    Presentation of work at congresses

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  • Computation of critical current in artificially structurated bulk samples from Hall measurements

     Amoros Torrent, Jaume
    European Conference on Applied Superconductivity
    Presentation's date: 2007-09-16
    Presentation of work at congresses

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  • Magnetic mapping, a way to test and understand current ?ows in thin and bulk superconductors

     Granados Garcia, Javier A.J.; Iliescu, S; Bozzo, B; Bartolome, E; Puig Molina, Teresa; Obradors Berenguer, Xavier; Amoros Torrent, Jaume; Carrera, M
    Advances in science and technology
    Date of publication: 2006-01
    Journal article

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  • Computation limits of Current Distribution in thick Superconducting Bulks from Magnetic Field Measurements

     Amoros Torrent, Jaume; Carrera, M; Granados García, Xavier; Iliescu, S; Moreno, E; Bozzo, B; Obradors Berenguer, Xavier
    Journal of physics: conference series
    Date of publication: 2006-01
    Journal article

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  • Computation limits of Current Distribution in thick Superconducting Bulks from Magnetic Field Measurements

     Amoros Torrent, Jaume
    Applied Superconductivity Conference 2006
    Presentation's date: 2006-08-27
    Presentation of work at congresses

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  • Geometria i topologia de les varietats algebraiques

     Amoros Torrent, Jaume; Roig Marti, Agustin; Barja Yañez, Miguel Angel; Elgueta Montó, Josep; Abío Roig, Ignasi; Casanellas Rius, Marta; Alberich Carramiñana, Maria
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  • Geometría y topología de las variedades algebraicas

     Barja Yañez, Miguel Angel; Elgueta Montó, Josep; Alberich Carramiñana, Maria; Roig Marti, Agustin; Abío Roig, Ignasi; Amoros Torrent, Jaume; Casanellas Rius, Marta
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  • Mapping Tori and Homotopy Properties of Aspherical Symplectic Four-manifolds

     Amoros Torrent, Jaume
    Topology of Algebraic Varieties/Topologia delle varietà algebriche complesse
    Presentation's date: 2006-09-19
    Presentation of work at congresses

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    Generic behaviour of asymptotically holomorphic Lefschetz pencils  Open access

     Amoros Torrent, Jaume; Muñoz, V; Presas, Francisco
    Journal of symplectic geometry
    Date of publication: 2005-01
    Journal article

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    We prove that the vanishing spheres of the Lefschetz pencils constructed by Donaldson on symplectic manifolds of any dimension are conjugated under the action of the symplectomorphism group of the fiber. More precisely, a number of generalized Dehn twists may be used to conjugate those spheres. This implies the non-existence of homologically trivial vanishing spheres in these pencils. To develop the proof, we discuss some basic topological properties of the space of asymptotically holomorphic transverse sections.

  • Critical current determination of artificially welded HTS samples by in-field Hall mapping technique

     Granados García, Xavier; Bozzo, B; Iliescu, S; Bartolome, E; Puig Molina, Teresa; Obradors Berenguer, Xavier; Amoros Torrent, Jaume; Carrera, M
    IEEE transactions on applied superconductivity
    Date of publication: 2005-06
    Journal article

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  • Mapping tori and homotopy properties of closed symplectic four-manifolds

     Amoros Torrent, Jaume
    American Mathematical Society Summer Institute on Algebraic Geometry
    Presentation's date: 2005-07-25
    Presentation of work at congresses

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  • Acción complementaria MTM2004-22080-E: Biblioteca Digital de Matemáticas (DML-E)

     de la Viesca ., Rosa; Amoros Torrent, Jaume
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  • Pinzells simplèctics de recobriments de la recta projectiva

     Amoros Torrent, Jaume
    Seminari de Geometria Algebraica de Barcelona
    Presentation's date: 2005-02-18
    Presentation of work at congresses

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  • tori and homotopy properties of aspherical symplectic four-manifolds

     Amoros Torrent, Jaume
    Winter School on Algebraic, Symplectic and Arithmetic Geometry dedicated to Prof. F. Bogomolov
    Presentation's date: 2005-12-18
    Presentation of work at congresses

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  • Determination of the inter- and intra-granular critical currents in superconducting YBa2Cu3O7 welds

     Bozzo, B; Iliescu, S; Bartolomé, E; Palau, A; Granados García, Xavier; Puig Molina, Teresa; Obradors Berenguer, Xavier; Amoros Torrent, Jaume; Carrera, J Amorós And M
    Superconductor science and technology
    Date of publication: 2005-09
    Journal article

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  • Generic behaviour of aymptotically holomorphic lefschetz pencils

     Amoros Torrent, Jaume; Muñoz, V; Presas, Francisco
    Journal of symplectic geometry
    Date of publication: 2004-09
    Journal article

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  • Geometría y topología de las variedades algebraicas

     Barja Yañez, Miguel Angel; Roig Marti, Agustin; Pascual Gainza, Pedro; Elgueta Montó, Josep; Abío Roig, Ignasi; Amoros Torrent, Jaume; Casanellas Rius, Marta; Alberich Carramiñana, Maria; Fernández Sánchez, Jesús
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  • Critical current determination of artificially welded HTS samples by In Field Hall Mapping Technique

     Granados García, Xavier; Bozzo, B; Iliescu, S; Bartolomé, E; Puig Molina, Teresa; Obradors Berenguer, Xavier; Amoros Torrent, Jaume; Carrera, M
    Date: 2004-07
    Report

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  • Current distribution maps in large YBCO melt-textured blocks

     Carrera, M.; Amoros Torrent, Jaume; Carrillo Fernández, Ana Esther; Fontcuberta, J.; Obradors Berenguer, Xavier
    Physica C. Superconductivity and its applications
    Date of publication: 2003-01
    Journal article

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  • In-Field Hall Probe Mapping System for Characterization of YBCO Weldings

     Iliescu, S.; Sena, S.; Granados García, Xavier; Obradors Berenguer, Xavier; Bartolomé, E.; Puig Molina, Teresa; Carrera, M.; Amoros Torrent, Jaume; Krakunovska, S.; Habisreuther, T.
    IEEE transactions on applied superconductivity
    Date of publication: 2003-06
    Journal article

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  • Characterization of Superconducting Rings Using an In-Field Hall Probe Magnetic Mapping System

     Granados García, Xavier; Sena, S.; Bartolomé, E.; Palau, A.; Puig Molina, Teresa; Obradors Berenguer, Xavier; Carrera, M.; Amoros Torrent, Jaume; Claus, H.
    IEEE transactions on applied superconductivity
    Date of publication: 2003-01
    Journal article

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  • Pinceles de Lefschetz en variedades simplécticas

     Amoros Torrent, Jaume
    Seminario de Xeometría e Topoloxía, Universidade de Santiago de Compostela
    Presentation's date: 2003-07-04
    Presentation of work at congresses

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  • La Biblioteca Digital de Matemàtiques

     Amoros Torrent, Jaume
    Asamblea de la Societat Catalana de Matem`atiques
    Presentation's date: 2003-06-03
    Presentation of work at congresses

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  • Pinceles de Lefschetz en varietades simplécticas

     Amoros Torrent, Jaume
    Seminario de Geometría Conforme
    Presentation's date: 2003-06-05
    Presentation of work at congresses

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  • Red Temática de Geometría y Física

     Amoros Torrent, Jaume; Garcia Prada, Oscar
    Participation in a competitive project

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  • Magnetization and current distribution along magnetization cycles in YBa 2Cu 3O 7 rings obtained by in-field Hall mapping

     Amoros Torrent, Jaume
    European Conference on Applied Superconductivity
    Presentation's date: 2003-09-14
    Presentation of work at congresses

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  • Homotopy properties of aspherical symplectic 4-folds

     Amoros Torrent, Jaume
    First meeting RTGF
    Presentation's date: 2003-11-24
    Presentation of work at congresses

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  • A new method of computation of current distribution maps in bulk high-temperature superconductors: analysis and validation

     Carrera, M; Amoros Torrent, Jaume; Obradors Berenguer, Xavier; Fontcuberta, J
    Superconductor science and technology
    Date of publication: 2003-01
    Journal article

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  • Symplectic Field Theory and Relative Gromov-Witten Invariants

     Amoros Torrent, Jaume
    III Encuentro GESTA 2002
    Presentation's date: 2002-02-14
    Presentation of work at congresses

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  • Calculation of current distribution maps in large YBCO melt-textured blocks from Hall probe magnetic flux measurements

     Amoros Torrent, Jaume
    II Reuniçon Nacional de Física del Estado Sólido
    Presentation's date: 2002-02-06
    Presentation of work at congresses

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  • Generic behaviour of asymptotically holomorphic Lefschetz pencils

     Amoros Torrent, Jaume; Muñoz, V; Presas, Francisco
    Date: 2002-01
    Report

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  • Current distribution maps in large YBCO melt-textured blocks

     Carrera, M; Amoros Torrent, Jaume; Carrillo Fernández, Ana Esther; Obradors Berenguer, Xavier; Fontcuberta, J
    Date: 2002-03
    Report

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  • In-Field Hall Probe Mapping System for Characterization of YBCO Weldings

     Carrera, M; Amoros Torrent, Jaume; Krakunovska, S; Habisreuther, T
    Date: 2002-04
    Report

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