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ON THE QUANTUM FILTRATION OF THE UNIVERSAL sl(2) FOAM COHOMOLOGY

CARMEN CAPRAU

Department of Mathematics, California State University, Fresno, 5245 North Backer Avenue M/S PB 108, Fresno, CA 93740-8001, USA

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https://doi.org/10.1142/S0218216511009595Cited by:2 (Source: Crossref)

Abstract

We investigate the filtered theory corresponding to the universal sl(2) foam cohomology for links, where a, h ∈ ℂ. We show that there is a spectral sequence converging to which is invariant under the Reidemeister moves, and whose E₁ term is isomorphic to Khovanov homology. This spectral sequence can be used to obtain from the foam perspective an analogue of the Rasmussen invariant and a lower bound for the slice genus of a knot.

Keywords:

AMSC: 57M27

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Journal cover image

Vol. 21, No. 03

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History

Received 20 June 2010

Accepted 30 March 2011

Published: 31 January 2012

Keywords