Khovanov homology theories and their applications

Abstract

This is an expository paper discussing various versions of Khovanov homology theories, interrelations between them, their properties, and their applications to other areas of knot theory and low-dimensional topology.

arXiv comment24 pages, 15 figures; to appear in the Proceeding of "Perspectives in Analysis, Geometry and Topology", Progress in Mathematics, Springer/Birkhauser