Toric Actions on b-Symplectic Manifolds

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

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)5818-5848
Number of pages31
JournalInternational Mathematics Research Notices
Issue number14
Early online date8 Jul 2014
Publication statusPublished - 2015


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