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Toric actions on b-symplectic manifolds

Autor
Miranda, E.; Pires, A.; Guillemin, V.; Scott, G.
Tipus d'activitat
Document cientificotècnic
Data
2013
Projecte finançador
Geomatr¿a algebraica, simpl¿ctica, aritm¿tica y aplicaciones.
Repositori
http://hdl.handle.net/2117/20405 Obrir en finestra nova
URL
http://arxiv.org/abs/1309.1897 Obrir en finestra nova
Resum
We study Hamiltonian actions on b-symplectic manifolds with a focus on the eective case of half the dimension of the manifold. In particular, we prove a Delzant-type theorem that classies these man- ifolds using polytopes that reside in a certain enlarged and decorated version of the dual of the Lie algebra of the torus. At the end of the paper we suggest further avenues of study, including an example of a toric action on a b2-manifold and applications of our ideas to integrable systems on b-man...
Citació
Miranda, E. [et al.]. "Toric actions on b-symplectic manifolds". 2013.
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants

  • Miranda Galceran, Eva  (autor)
  • Pires, Ana Rita  (autor)
  • Guillemin, Victor  (autor)
  • Scott, Geoffrey  (autor)

Arxius