Journal of Symplectic Geometry

Volume 12 (2014)

Number 4

On cohomological obstructions for the existence of log-symplectic structures

Pages: 863 – 866

DOI: https://dx.doi.org/10.4310/JSG.2014.v12.n4.a6

Authors

Ioan Mărcuţ (Department of Mathematics, Utrecht University, Utrecht, The Netherlands)

Boris Osorno Torres (Department of Mathematics, Utrecht University, Utrecht, The Netherlands)

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 log-symplectic structures similar to those in symplectic geometry.

Published 27 March 2015