An introduction to knot Floer homology
Geometric Topology
2016-03-18 v2 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.1401.7107,
title = {An introduction to knot Floer homology},
author = {Ciprian Manolescu},
journal= {arXiv preprint arXiv:1401.7107},
year = {2016}
}
Comments
31 pages; final version, to appear in Proceedings of the 2013 SMS summer school on Homology theories of knots and links