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research article
The tropical momentum map: a classification of toric log symplectic manifolds
We give a generalization of toric symplectic geometry to Poisson manifolds which are symplectic away from a collection of hypersurfaces forming a normal crossing configuration. We introduce the tropical momentum map, which takes values in a generalization of affine space called a log affine manifold. Using this momentum map, we obtain a complete classification of such manifolds in terms of decorated log affine polytopes, hence extending the classification of symplectic toric manifolds achieved by Atiyah, Guillemin-Sternberg, Kostant, and Delzant.
Type
research article
Web of Science ID
WOS:000398175700010
Authors
Publication date
2017
Publisher
Published in
Volume
367
Issue
3-4
Start page
1217
End page
1258
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
May 1, 2017
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