Topology Seminar (Main Talk): Khovanov homotopy type

Seminar | April 24 | 3:10-4 p.m. | 740 Evans Hall | Note change in time and location

 Sucharit Sarkar, UCLA

 Department of Mathematics

I will describe a construction of a stable homotopy type which is a knot invariant, and whose (ordinary) homology is Khovanov homology. We will state some applications of this spatial refinement. Time permitting, we will describe further spatial refinements of other variants of Khovanov homology, such as invariants for tangles. This is joint with Robert Lipshitz and Tyler Lawson.