From: Kelli McGee \(Kelly Services Inc\) (a-kellim@microsoft.com)
Date: Thu Apr 08 2004 - 08:57:43 PDT
You are invited to attend...
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WHO: Dror Bar-Natan
AFFILIATION: University of Toronto
TITLE: Khovanov Homology for Tangles and Cobordisms
WHEN: Tue 4/13/2004
WHERE: 113/1021 Research Lecture Room, Microsoft Research
TIME: 1:30PM-3:00PM
HOST: Michael Freedman
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ABSTRACT:
In my talk I will display one complicated picture and discuss it at
length. Applying a certain 2D TQFT, we will get a homology theory whose
Euler characteristic is the Jones polynomial. Not applying it, very
cheaply we will get an invariant of tangles which is functorial under
cobordisms and an invariant of 2-knots.
Why is it interesting?
* It is a knot/link/tangle invariant stronger than the Jones
polynomial.
* It may be stronger than the original "Khovanov Homology".
* It has several generalizations, but as a whole, we hardly
understand it. It may have significant algebraic and/or physical
ramifications.
* It is functorial in the appropriate sense, and Rasmussen
(math.GT/0402131 <http://front.math.ucdavis.edu/math.GT/0402131> uses
it to do some real topology.
BIO:
Dror Bar-Natan received his Ph.D. in mathematics from Princeton
University in 1991. Since 2002 he has been at the University of Toronto
as an Associate Professor of Mathematics. His present field of research
is Quantum Algebra and Topology.
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