Knot homology and equivariant homology
by Geordie Williamson
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 email@example.com