A quantum categorification of the Alexander polynomial

Robert, Louis-Hadrien; Wagner, Emmanuel

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A quantum categorification of the Alexander polynomial

Robert, Louis-Hadrien; Wagner, Emmanuel

2021 • In Geometry and Topology

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https://hdl.handle.net/10993/46617

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Keywords :

Link homology; foam; TQFT

Abstract :

[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 :

Mathematics

Author, co-author :

Robert, Louis-Hadrien ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)

Wagner, Emmanuel; Université de Paris > IMJ-PRG

External co-authors :

yes

Language :

English

Title :

A quantum categorification of the Alexander polynomial

Publication date :

2021

Journal title :

Geometry and Topology

ISSN :

1364-0380

Publisher :

University of Warwick, Coventry, United Kingdom

Peer reviewed :

Peer Reviewed verified by ORBi

FnR Project :

FNR12246620 - Geometry, Probability And Their Synergies, 2017 (01/01/2019-30/06/2025) - Hugo Parlier

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since 15 March 2021

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