GT seminar: "An A-infinity structure on generating function homology"

Abstract: Generating functions are a tool for producing Lagrangians in cotangent bundles. To a pair of generating functions, one can associate a Morse theoretic invariant known as generating function homology. This is analogous to the Floer homology of the associated Lagrangians. In Floer theory, there are higher operations defined by counting rigid holomorphic polygons. In Morse theory, one can construct higher operations by counting rigid flow trees. This was made precise for standard Morse theory on a compact manifold by Fukaya and Oh. Generalizing the work of Myer, I will explain how to construct such operations for generating function homology.

This is a talk in our geometry and topology seminar series.