Convexity for Hamiltonian torus actions on b-symplectic manifolds

Victor Guillemin, Eva Miranda, Ana Rita Pires, Geoffrey Scott

Research output: Contribution to journalArticlepeer-review

Abstract

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 toric b-symplectic case studied in [GMPS].
Original languageEnglish
Pages (from-to)363-377
Number of pages16
JournalMathematical research letters
Volume24
Issue number2
DOIs
Publication statusPublished - 24 Jul 2017

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