Topological quantum field theory structure on symplectic cohomology

Tue, 26/10/2010
15:45
Alexander Ritter (Cambridge) Algebraic and Symplectic Geometry Seminar Add to calendar L3
Symplectic cohomology is an invariant of symplectic manifolds with contact type boundary. For example, for disc cotangent bundles it recovers the homology of the free loop space. The aim of this talk is to describe algebraic operations on symplectic cohomology and to deduce applications in symplectic topology. Applications range from describing the topology of exact Lagrangian submanifolds, to proving existence theorems about closed Hamiltonian orbits and Reeb chords.