| 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.
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