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Convexity for Hamiltonian torus actions on b-symplectic manifolds

Autor
Guillemin, V.; Miranda, E.; Pires, A.; Scott, G.
Tipus d'activitat
Document cientificotècnic
Data
2014-12
URL
http://arxiv.org/pdf/1412.2488v1 Obrir en finestra nova
Resum
In [GMPS] we proved that the moment map image of a b-symplectic toric manifold is a convex b-polytope. In this paper we obtain convexity results for the more general case of non-toric hamiltonian torus actions on b-symplectic manifolds. The modular weights of the action on the connected components of the exceptional hypersurface play a fundamental role: either they are all zero and the moment map behaves as in classic symplectic one, or they are all nonzero and the moment map behaves as in the t...
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants

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