Toric Actions on b-Symplectic Manifolds
Name
Guillemin_Toric actions.pdf
Size
598.36 KB
Format
Adobe PDF
Checksum (MD5)
3aee1b07b9de4786e7f9cd15d6e39466
Author(s)
Guillemin, Victor W
Miranda, Eva
Pires, Ana Rita
Scott, Geoffrey
Date Issued
July 2014
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1093/imrn/rnu108
