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arXiv · 1309.1897

Toric actions on b-symplectic manifolds

Victor Guillemin·Eva Miranda·Ana Rita Pires·Geoffrey Scott
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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.

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Victor Guillemin, Eva Miranda, Ana Rita Pires, Geoffrey Scott. 2014-03-05. Toric actions on b-symplectic manifolds. https://doi.org/10.1093/imrn%2Frnu108

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