Toric Actions on b-Symplectic Manifolds

Author(s)
Guillemin, Victor W; Miranda, Eva; Pires, Ana Rita; Scott, Geoffrey
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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.
Date issued
2014-07
URI
http://hdl.handle.net/1721.1/104358
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
International Mathematics Research Notices
Publisher
Oxford University Press
Citation
Guillemin, Victor, Eva Miranda, Ana Rita Pires, and Geoffrey Scott. “ Toric Actions on b -Symplectic Manifolds .” International Mathematics Research Notices 2015, no. 14 (July 8, 2014): 5818-5848.
Version: Original manuscript
ISSN
1073-7928
1687-0247
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