İzmir Yüksek Teknoloji Enstitüsü Matematik Bölümü Seminerleri
Introduction to knot Floer homology
Maciej Borodzik
Mathematical Institute of Polish Academy of Sciences, Polonya
We begin with giving examples of knot Floer homology and of invariants that can be deduced from it. We introduce the notion of a d-invariant of a 3-manifold which is the result of a surgery of a knot. We define Heegaard Floer homology for 3-manifolds. We give a construction for manifolds with b_1=0. We give some applications and relate to knot Floer theory.
