GT seminar "The Fukaya–Morse Category: Enhancements and Field-Theoretic Approach"

Abstract: The Fukaya–Morse category is an A-infinity-(pre-)category proposed by Fukaya in 93. It makes use of multiple Morse functions and their flow lines to represent higher Massey products and is intimately tied to the rational homotopy type of a manifold. In this talk we will go over its construction, highlight some of its issues and talk about a recent proposal by Chekeres, Losev, Mnev and Youmans to tackle them. We will then discuss further enhancements of this category to Morse–Bott functions and graphs with one loops. Time permitting I will sketch how the category arises as a particular effective field theory.

This is a talk in our Geometry and Topology Seminar Series.