## August 2: Morse theory on a manifold with boundary, or: How I learned to stop
worrying and love the reducible monopoles

### Jonathan Bloom

Now that Tim has done all the hard work of describing the Seiberg-Witten
equations, I'll try to motivate the structure of the 3+1 dimensional "TQFT".
I'll start by reviewing Morse theory on a closed manifold, the
finite-dimensional model for Floer theory. I'll then discuss the right way to
adapt this story to a manifold with boundary. The latter serves as the
finite-dimensional model for monopole Floer homology, leading to three versions
of the theory.