%0 Journal Article
%T An introduction to knot Floer homology
%A Ciprian Manolescu
%J Mathematics
%D 2014
%I arXiv
%X This is a survey article about knot Floer homology. We present three constructions of this invariant: the original one using holomorphic disks, a combinatorial description using grid diagrams, and a combinatorial description in terms of the cube of resolutions. We discuss the geometric information carried by knot Floer homology, and the connection to three- and four-dimensional topology via surgery formulas. We also describe some conjectural relations to Khovanov-Rozansky homology.
%U http://arxiv.org/abs/1401.7107v1