Peter S. Ozsváth

Heegaard Floer homology and Legendrian knots.

Résumé

I will describe applications of Heegaard Floer homology to questions in contact geometry. Specifically, I will describe invariants for Legendrian and transverse knots in contact manifolds which take values in the knot Floer homology of the underlying topological knot. I hope to also give some applications of these invariants.