CONVEXITY FOR HAMILTONIAN TORUS ACTIONS ON b-SYMPLECTIC MANIFOLDS - Sorbonne Université
Journal Articles Mathematical Research Letters Year : 2016

CONVEXITY FOR HAMILTONIAN TORUS ACTIONS ON b-SYMPLECTIC MANIFOLDS

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 case, or they are all nonzero and the moment map behaves as in the toric b-symplectic case studied in [GMPS].
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Dates and versions

hal-02448211 , version 1 (22-01-2020)

Identifiers

  • HAL Id : hal-02448211 , version 1

Cite

Victor Guillemin, Eva Miranda, Ana Rita Pires, Geoffrey Scott. CONVEXITY FOR HAMILTONIAN TORUS ACTIONS ON b-SYMPLECTIC MANIFOLDS. Mathematical Research Letters, 2016. ⟨hal-02448211⟩
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