{ "id": "1111.2240", "version": "v1", "published": "2011-11-09T15:27:59.000Z", "updated": "2011-11-09T15:27:59.000Z", "title": "A spectral sequence in odd Khovanov homology (Eine Spektralsequenz in ungerader Khovanov-Homologie)", "authors": [ "Simon Beier" ], "comment": "62 pages, many pictures, in German", "categories": [ "math.GT" ], "abstract": "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 G\\\"ottingen in summer 2011. It is in German. I will publish a reworked version in English later.", "revisions": [ { "version": "v1", "updated": "2011-11-09T15:27:59.000Z" } ], "analyses": { "subjects": [ "57M27", "55T99" ], "keywords": [ "spectral sequence", "eine spektralsequenz", "ungerader khovanov-homologie", "szabo constructed odd khovanov homology", "szabos link homology" ], "note": { "typesetting": "TeX", "pages": 62, "language": "de", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1111.2240B" } } }