School Seminars and Colloquia

Knot homology and equivariant homology

Geometry/Topology Seminar

by Geordie Williamson


Institution: Albert-Ludwigs-Universitaet Freiburg
Date: Fri 25th July 2008
Time: 11:30 AM
Location: Room 107, Richard Berry Blg, The University of Melbourne

Abstract: Khovanov-Rozansky link homology is a categorified knot
invariant: starting with a knot or link one obtains triply-graded
"homology groups" whose dimensions are invariants of the knot or link.
Moreover, taking an Euler characteristic yields the HOMPFLYPT polynomial.
I will begin by sketching one way of constructing this invariant due to
Khovanov (using ideas of Rouquier). I will then explain ongoing joint work
with Ben Webster which offers a geometric interpretation of Khovanov's
construction in terms of equivariant cohomology.

For More Information: Contact: Stephen Tillman s.tillman@ms.unimelb.edu.au