Séminaire de Géométrie, Groupes et Dynamiques

Richard Siefring (Ruhr-Universität Bochum) : Symplectic field theory and codimension-2 stable Hamiltonian submanifolds

Motivated by the goal of establishing a "symplectic sum formula" in symplectic field theory, we will discuss the intersection behavior between punctured pseudoholomorphic curves and certain symplectic hypersurfaces in a symplectization. In particular we will show that the count of such intersections is always bounded from above by a finite, topologically-determined quantity even though the curve, the target manifold, and the symplectic hypersurface in question are all noncompact. Relevant topics from symplectic topology will be reviewed in the talk and no prior familiarity with pseudoholomorphic curves will be assumed.
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