Heegaard diagrams and Floer homology

Details Heegaard diagrams and Floer homology Heegaard diagrams and Floer homology

2006-02-10

arxiv.org/abs/math/0602232v1

Mathematics

Geometric Topology

To appear in the Proceedings for ICM-2006 Madrid

Scientific paper

We review the construction of Heegaard Floer homology for closed three-manifolds and also for knots and links in the three-sphere. We also discuss three applications of this invariant to knot theory: studying the Thurston norm of a link complement, the slice genus of a knot, and the unknotting number of a knot. We emphasize the application to the Thurston norm, and illustrate the theory in the case of the Conway link.

Affiliated with

Also associated with

No associations

Rating

Heegaard diagrams and Floer homology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Heegaard diagrams and Floer homology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Heegaard diagrams and Floer homology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-512777