The contraderived category of linear factorizations and KhovanovRozansky knot homology
Hanno Becker (Bonn)
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When 
Jul 18, 2013 from 03:15 pm to 04:15 pm 
Where  Mainz, 05432 (Hilbertraum) 
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Abstract: In this talk I describe a notion of weak equivalence for linear factorizations (2periodic complexes with d^2=0 replaced by d^2=w, originating from singularity theory) producing the homotopy category of matrix factorizations as the associated derived category. This is in analogy with the description of the homotopy category of projectives over a ring in terms of the derived category. The presence of the contraderived category sometimes simplifies the work with matrix factorizations; for example, it can be used to give an alternative construction of KhovanovRozansky's categorifications of the Quantum sl(k) knot invariants.