The Jones polynomial and Khovanov homology of Turaev genus one links

Adam Lowrance (Vassar College)

Abstract: The Turaev surface of a link diagram is an oriented surface closely tied to the Jones polynomial of that link. The Turaev genus of a link is the minimum genus of the Turaev surface for any diagram of the link. In this talk, we discuss first the Jones polynomial and then the Khovanov homology of Turaev genus one links.