English

On cohomological obstructions to the existence of log symplectic structures

Differential Geometry 2014-03-12 v2 Symplectic Geometry

Abstract

We prove that a compact log symplectic manifold has a class in the second cohomology group whose powers, except maybe for the top, are nontrivial. This result gives cohomological obstructions for the existence of b-log symplectic structures similar to those in symplectic geometry.

Keywords

Cite

@article{arxiv.1303.6246,
  title  = {On cohomological obstructions to the existence of log symplectic structures},
  author = {Ioan Marcut and Boris Osorno Torres},
  journal= {arXiv preprint arXiv:1303.6246},
  year   = {2014}
}

Comments

3 pages. To appear in JSG