[en] Using a modified foam evaluation, we give a categorification of the Alexander polynomial of a knot. We also give a purely algebraic version of this knot homology which makes it appear as the infinite page of a spectral sequence starting at the reduced triply graded link homology of Khovanov--Rozansky.
Disciplines :
Mathématiques
Auteur, co-auteur :
ROBERT, Louis-Hadrien ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)
Wagner, Emmanuel; Université de Paris > IMJ-PRG
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
A quantum categorification of the Alexander polynomial
Date de publication/diffusion :
2021
Titre du périodique :
Geometry and Topology
ISSN :
1465-3060
eISSN :
1364-0380
Maison d'édition :
University of Warwick, Coventry, Royaume-Uni
Peer reviewed :
Peer reviewed vérifié par ORBi
Projet FnR :
FNR12246620 - Geometry, Probability And Their Synergies, 2017 (01/01/2019-30/06/2025) - Hugo Parlier
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