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On generalization of odd Khovanov homologies
by
Krzysztof Putyra
Jagiellonian University, Krakow
In paper 'Odd Khovanov homology' P. Ozsvath, J. Rasmussen and Z. Szabo described a link homology related to Khovanov's theory. It is given by a projective functor from the category of (1+1)-cobordisms to the category of graded Z-modules. Giving cobordisms an additional structure we can give a functorial description of this construction. This leads into more general theory which both Khovanov's (with c=0) and odd homologies are special cases of. Moreover, one can prove the independence on the Reidemeister moves at the topological level, like in the Bar-Natan's paper 'Khovanov's homology for tangles and cobordisms'. In the talk I will describe this general construction, show the connection to known theories and, if time permits, give an idea of the proof of independence of the construction.
Date received: March 13, 2008
Copyright © 2008 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cawt-08.