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Symplectic, Poisson,
and contact geometry on scattering manifolds
Melinda Lanius |
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Vol. 310 (2021), No. 1, 213–256
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Abstract |
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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. |
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Keywords
b-symplectic, scattering, contact hypersurface, minimally
degenerate Poisson
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Mathematical Subject Classification 2010
Primary: 53D05
Secondary: 53D10, 53D17
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Milestones
Received: 25 June 2019
Revised: 31 August 2020
Accepted: 1 October 2020
Published: 26 January 2021
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Authors |
| Melinda Lanius | |
| Department of Mathematics University of Arizona Tucson, AZ United States |
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