2011/11/09 by Simon Beier, Beier, Simon
Computer Science · Mathematics · #55T99 #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1111.2240
openalex publication_date 2011/11/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Ozsvath, Rasmussen and Szabo constructed odd Khovanov homology. It is a link invariant which has the same reduction modulo 2 as (even) Khovanov homology. Szabo introduced a spectral sequence with mod 2 coefficients from mod 2 Khovanov homology to another link homology. He got his spectral sequence from a chain complex with a filtration. We give an integral lift of Szabo's complex, that provides a spectral sequence from odd Khovanov homology to a link homology, from which one can get Szabo's link homology with the Universal Coefficient Theorem. Szabo has constructed such a lift independently, but has not yet published it. This is my master thesis which I wrote under supervision of Thomas Schick at Georg August University Göttingen in summer 2011. It is in German. I will publish a reworked version in English later.