Department of Mathematics

Geometry and Topology

  •  Melissa Zhang, Boston College
  •  Localization in Khovanov homology
  •  02/14/2019
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall

When a topological object admits a group action, we expect that our invariants reflect this symmetry in their structure. This talk will tour the expression of link symmetries in three generations of related invariants: the Jones polynomial; its categorification, Khovanov homology; and the youngest invariant in the family, the Khovanov stable homotopy type, introduced by Lipshitz and Sarkar. I will describe how to use Lawson-Lipshitz-Sarkar's Burnside functor construction of the Lipshitz-Sarkar Khovanov homotopy type to produce localization theorems and Smith-type inequalities for the Khovanov homology of periodic links. This joint work with Matthew Stoffregen.



Department of Mathematics
Michigan State University
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College of Natural Science