2013/09/30 by Victor Guillemin, Eva Miranda, Ana Rita Pires +1 · 1 citation
Mathematics · #math.SG #msc:53D17 #msc:53D20
paper · pdf · doi:10.1093/imrn/rnu108
published as Int Math Res Notices (2015) 2015 (14): 5818-5848 · 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)
arxiv created 2014/03/05 · arxiv updated 2018/03/26
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.