**Tuesday and Thursday 12:00-1:20 in Henry 152**

**Overview of the course**

Floer theory, which combines ideas from Morse theory and the study of pseudoholomorphic curves, is one of the central tools in modern symplectic topology. The goal of this course will be to describe the ideas and technical issues involved in Floer theory and to discuss some recent applications. We will spend at least the first third of the course discussing Morse homology which is a beautiful topic itself and serves as an illuminating finite-dimensional prototype of Floer homology.

Below is link to some old lecture notes from a previous incarnation of this course. I will be revising these notes throughout the semester.

**Prerequisites**

I hope to make this course accessible to anyone with a good knowledge of basic differential topology.

**Office Hours**

My office is room 331 in Illini Hall and my official **office hours** for this course
will be **Wednesday 2-4**. Unofficially, you are welcome to
come to my office to discuss the material whenever you have questions.

**References**

We will not follow a particular book, but here are two very useful sets of lecture notes which are available on the web:

Here are some other excellent references.

For Morse homology:

For the "classical" approach to Morse theory:

For pseudoholomorphic curves and Floer theory:

**Back to main page.**

This page last modified
by Ely Kerman

Friday, 20-Jan-2005 13:12:53 EST

Email corrections and comments to
*ekerman@math.uiuc.edu*