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arXiv · 1603.02994

Symplectic, Poisson, and contact geometry on scattering manifolds

Melinda Lanius
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Abstract

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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Melinda Lanius. 2020-10-02. Symplectic, Poisson, and contact geometry on scattering manifolds. https://doi.org/10.2140/pjm.2021.310.213

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