University of Sydney Algebra Seminar

Anna Beliakova (University of Zurich)

Friday 30 November, 12-1pm, Place: Carslaw 375 (if still closed, we'll be in Abercrombie Building ABS Seminar Room 2020!)

Quantized annular Khovanov homology

In the talk I will explain how one can quantize the annular Khovanov homology to get a new triply graded homology theory for annular links which is strictly functorial with respect to annular cobordisms. This theory carries the action of the quantum sl(2) intertwining the action by cobordisms and provides non-trivial invariants of 2-knots. Moreover, in the quantized annular setting the infinite Cooper-Krushkal complex categorifing the Jones-Wenzl projector becomes finite and homotopic to the Khovanov complex for the colored Jones. Joint work with M. Hogancamp, K. Putyra and S. Wehrli.