Viro's approach to Khovanov Homology
Gabriel Montoya Vega (CUNY)
Abstract: Khovanov homology provides a nontrivial generalization of
the Jones polynomial and the Kauffman bracket polynomial of links in
$\mathbb{R}^{3}$. A more powerful invariant than the Jones polynomial,
this special type of categorification has been extensively studied
over the last two decades. In this talk, the Khovanov homology as
constructed by Oleg Viro will be presented. Moreover, the long exact
sequence of Khovanov homology will be constructed and used to
partially calculate the Khovanov homology of torus links of the type
$T(2,n)$.