Abstract
A
few years ago M.Khovanov introduced a homology theory associated with a
knot. The homology group turns out to be bigraded. Khovanov proved that
if we take the Poincare
polynomial with respect to one grading and the Euler characteristic with respect to another one
then the polynomial obtained
turns out to be the Jones polynomial of the knot. Therefore, one may consider the Khovanov homology as a
categorification of the Jones
polynomial. In my talk I am going to describe the construction of the Khovanov homology.
