4:00 pm Monday, April 18, 2011
Topology Seminar: Knot Floer Homology and Categorification
by Allison Gilmore (Columbia University) in HB 427
We investigate the algebraic structure of knot Floer homology in the context of categorification. Ozsvath and Szabo gave the first completely algebraic description of knot Floer homology via a cube of resolutions construction. We use this construction to give a fully algebraic proof of invariance for knot Floer homology that avoids any mention of holomorphic disks or grid diagrams. We then reframe Ozsvath and Szabo's construction in the language of Soergel bimodules, which are the main ingredient in Khovanov's HOMFLY-PT homology, and explore the similarities between the two theories. Host Department: Rice University-Mathematics
Submitted by shelly@rice.edu |
