Toric actions on b-symplectic manifolds

Abstract

We study Hamiltonian actions on $b$-symplectic manifolds with a focus on the effective case of half the dimension of the manifold. In particular, we prove a Delzant-type theorem that classifies these manifolds using polytopes that reside in a certain enlarged and decorated version of the dual of the Lie algebra of the torus.

26 pages, 10 figures, major revision, former Section 6 has been removed from this paper, a section on classification of toric b-surfaces has been included (Section 3)

References in corpus (2)

• Symplectic and Poisson geometry on b-manifolds
• Deformations of log-symplectic structures

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