Skip to main content
Browse by:
GROUP

Knot Floer homology and the gl(1|1) link invariant

Event Image
Icon calendar
Monday, November 19, 2018
Icon time
3:15 pm - 4:15 pm
Icon speaker
Ina Petkova (Dartmouth College, Mathematics)
Icon series
Geometry/Topology Seminar

The Reshetikhin-Turaev construction for the standard representation of the quantum group gl(1|1) sends tangles to C(q)-linear maps in such a way that a knot is sent to its Alexander polynomial. After a brief review of this construction, I will give an introduction to tangle Floer homology - a combinatorial generalization of knot Floer homology which sends tangles to (homotopy equivalence classes of) bigraded dg bimodules. Finally, I will discuss how to see tangle Floer homology as a categorification of the Reshetikhin-Turaev invariant. This is joint work with Alexander Ellis and Vera Vertesi.