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Khovanov homology for 3-manifolds.

Vendredi, 23 Mars, 2007 - 15:00
Prénom de l'orateur : 
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Résumé : 

Dror Bar-Natan's approach to understanding the Khovanov homology leads
to local relations on the level of surfaces. Using these relations we
define a graded module associated to a three-manifold built out of
surfaces in the manifold,
modulo Bar-Natan's relations.  For hyperbolic manifolds the graded
dimension of the module is a rational function. We go on to define
Khovanov homology for a link in the boundary of a three-manifold, the
graded Euler characteristic of the theory for the unknot is the
rational function defined above. (This work was joint with Marta

Institution de l'orateur : 
University of Iowa, USA
Thème de recherche : 
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