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A functor-valued invariant of tangles IIGeometry/Topology
|Speaker: ||Mikhail Khovanov, UC Davis|
|Location: ||693 Kerr|
|Start time: ||Wed, Apr 11 2001, 4:10PM|
This is a series of two talks about an emerging
relation between homological algebra and
low-dimensional topology. While 3D quantum topology is based on semisimple representation
theory of quantum groups, we expect nonsemisimple representations of Frobenius algebras and
derived categories to
be in charge of the 4D quantum topology.
We will supplement general ideas by exibiting a
new invariant of tangles, which
takes values in the chain homology category of
complexes of bimodules over certain algebras.
This invariant has the same relation to the
Kauffman bracket of tangles as homology
to the Euler characteristic.