Symplectic, Poisson, and contact geometry on scattering manifolds
| Autor: | Melinda Lanius |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics General Mathematics Contact geometry 010102 general mathematics Regular polygon Poisson distribution 01 natural sciences Cohomology Manifold symbols.namesake Differential Geometry (math.DG) Mathematics - Symplectic Geometry Poisson manifold 0103 physical sciences FOS: Mathematics symbols Symplectic Geometry (math.SG) 010307 mathematical physics 0101 mathematics Mathematics::Symplectic Geometry 53D05 53D10 53D17 Symplectic geometry Symplectic manifold Mathematics |
| Zdroj: | Pacific Journal of Mathematics. 310:213-256 |
| ISSN: | 1945-5844 0030-8730 |
| 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. Final version accepted for publication in the Pacific Journal of Mathematics (PJM) |
| Databáze: | OpenAIRE |
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