Localization in Khovanov Homology

Triangle Topology Seminar

Matthew Stoffregen (M.I.T., Mathematics)

Tuesday, September 25, 2018 -
4:30pm to 5:30pm
UNC, Phillips 381

For periodic links, we show that the Khovanov space of Lipshitz-Sarkar admits a natural cyclic group action, and identify its fixed point set. As an application, we prove that the Khovanov homology (with coefficients in the field of p elements) of a p-periodic link has rank greater than or equal to that of the annular Khovanov homology of the quotient link. This is joint work with Melissa Zhang.

Last updated: 2019/03/18 - 2:19pm