Logo

Mathematical Sciences Research Institute

Home » Department of Mathematics, University of California 2010 Chern Lectures: "Lecture 1: Introduction to Heegaard Floer homology"

Seminar

Department of Mathematics, University of California 2010 Chern Lectures: "Lecture 1: Introduction to Heegaard Floer homology" April 13, 2010
Location: UC Berkeley, Sibley Auditorium, Bechtel Hall
Speaker(s) Peter Ozsvath
Description No Description

Video
No Video Uploaded
Abstract/Media

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.

No Notes/Supplements Uploaded No Video Files Uploaded