Brendan Owens, McMaster University, December 2, 2002
Title: Floer homology of a surface times a circle using Bott-Morse theory
Abstract:
I will describe a generalised Morse complex which computes the homology
groups of a manifold M from a Bott-Morse function on M. There is a
version of this by Fukaya for instanton Floer homology. I will explain
how this gives a new and simpler proof that the Floer homology of a
surface times a circle is isomorphic to the homology of the moduli
space of projectively flat connections on the surface. (This was first proved
by Dostoglou and Salamon using an adiabatic limit argument and results of
Floer on symplectic Floer homology).