Department of Mathematics, University of California 2010 Chern Lectures: "Lecture 1: Introduction to Heegaard Floer homology"
Tue, April 13, 2010 4:00PM - 5:00PM
| Time: | 4:00PM - 5:00PM |
| Location: | UC Berkeley, Sibley Auditorium, Bechtel Hall |
| Speakers: | Peter Ozsvath, Peter Ozsvath |
| Abstract: | Heegaard Floer homology is an invariant for low-dimensional manifolds defined using methods from symplectic geometry (holomorphic disks, Lagrangian Floer homology). To a closed, oriented three-manifold, this invariant associates a module over the polynomial algebra in a formal variable U. I will outline the structure of this theory and discuss various of its topological applications. This construction (as an invariant for three- and four-manifolds) was originally discovered in collaboration with Zoltán Szabó. The generalization to knots was discovered independently by Jacob Rasmussen. |
