Bounding chains as a tool in open Gromov-Witten theory

Abstract: Moduli spaces of J-holomorphic disks have boundary. This interferes with desirable structures, such as Lagrangian Floer theory or open Gromov-Witten invariants. One tool for balancing out boundary contributions is a bounding chain. In this talk I will give some background on the problem, then discuss in detail what bounding chains are, how they can be constructed, and how they are used to define invariants. The work of several people will be mentioned, among them a joint work with J. Solomon.

differential geometrydynamical systemsgeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and Dynamics seminar

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