Symplectic, Poisson, and contact geometry on scattering manifolds

Autor:	Lanius, Melinda
Rok vydání:	2016
Předmět:	Mathematics - Symplectic Geometry Mathematics - Differential Geometry 53D05 53D10 53D17
Zdroj:	Pacific J. Math. 310 (2021) 213-256
Druh dokumentu:	Working Paper
DOI:	10.2140/pjm.2021.310.213
Popis:	We introduce scattering-symplectic manifolds, manifolds with a type of minimally degenerate Poisson structure that is not too restrictive so as to have a large class of examples, yet restrictive enough for standard Poisson invariants to be computable. This paper will demonstrate the potential of the scattering symplectic setting. In particular, we construct scattering-symplectic spheres and scattering symplectic gluings between strong convex symplectic fillings of a contact manifold. By giving an explicit computation of the Poisson cohomology of a scattering symplectic manifold, we also introduce a new method of computing Poisson cohomology. Comment: Final version accepted for publication in the Pacific Journal of Mathematics (PJM)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1603.02994 Zobrazit plný text záznamu View this record from Arxiv