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On the categorification of Vassiliev theory


Speaker: Nadya Shirokova, Stanford
Location: 2112 MSB
Start time: Wed, Nov 1 2006, 4:10PM

We consider Khovanov complexes as a local system on the space of knots. We extend it to the singular locus and introduce the definition of a local system of finite type n. We show that Khovanov theory decomposes into a "Taylor series" over theories of finite type. We also discuss a 3-dimensional generalization of our construction.