The Khovanov width of closed 3-braids

Adam Lowrance (Louisiana State University)

Khovanov homology is a bigraded homology theory that categorifies the Jones polynomial. The support of Khovanov homology lies on a finite number of slope 2 lines with respect to the bigrading. Khovanov width is a measure of how many such lines support Khovanov homology. In this talk, I will compute the Khovanov width of closed 3-braids. Also, the proof will be adapted to a similar theory called odd Khovanov homology.