Computations in relative symplectic cohomology using local to global methods

Abstract: Consider a complete Lagrangian torus fibration p(n) from a symplectic manifold to the plane with at most one singular fiber which is a two torus pinched at n-meridians. Relative symplectic cohomology in degree 0 defines a sheaf of algebras in the base with respect to an appropriate G-topology and grading datum. I will explain how one can compute this sheaf for all p(n) using general properties and explicit computations for p(0). This is a joint work with Yoel Groman.

differential geometrydynamical systemsgeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and Dynamics seminar

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