A classification of star log symplectic structures on a compact oriented surface
Symplectic Geometry
2018-09-12 v3 Differential Geometry
Abstract
Given a compact oriented surface, we classify log Poisson bi-vectors whose degeneracy loci are locally modeled by a finite set of lines in the plane intersecting at a point. Further, we compute the Poisson cohomology of such structures and discuss the relationship between our classification and the second Poisson cohomology.
Cite
@article{arxiv.1705.01793,
title = {A classification of star log symplectic structures on a compact oriented surface},
author = {Melinda Lanius},
journal= {arXiv preprint arXiv:1705.01793},
year = {2018}
}
Comments
Final version accepted for publication in Journal of Symplectic Geometry