Toric actions on b-symplectic manifolds
Symplectic Geometry
2018-03-26 v3
Abstract
We study Hamiltonian actions on -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.
Cite
@article{arxiv.1309.1897,
title = {Toric actions on b-symplectic manifolds},
author = {Victor Guillemin and Eva Miranda and Ana Rita Pires and Geoffrey Scott},
journal= {arXiv preprint arXiv:1309.1897},
year = {2018}
}
Comments
26 pages, 10 figures, major revision, former Section 6 has been removed from this paper, a section on classification of toric b-surfaces has been included (Section 3)