On cohomological obstructions for the existence of log-symplectic structures

Autor:	Boris Osorno Torres, Ioan Mărcuţ
Rok vydání:	2014
Předmět:	Combinatorics Class (set theory) Pure mathematics Group (mathematics) Geometry and Topology Mathematics::Algebraic Topology Mathematics::Symplectic Geometry Manifold Cohomology Symplectic geometry Mathematics
Zdroj:	J. Symplectic Geom. 12, no. 4 (2014), 863-866
ISSN:	1540-2347 1527-5256
DOI:	10.4310/jsg.2014.v12.n4.a6
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2baae600df4848768c4dac9803a195f2 https://doi.org/10.4310/jsg.2014.v12.n4.a6 Zobrazit plný text záznamu