Functoriality of Khovanov homology-Reference-Cited by-同舟云学术

Functoriality of Khovanov homology

Published:2020-03-18 Issue:04 Volume:29 Page:2050020
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Vogel Pierre¹^ORCID

Affiliation:

1. Institut de Mathématiques de Jussieu-Paris Rive Gauche (UMR 7586), Université Paris Diderot, Bâtiment Sophie Germain, Case 7012, 75205, Paris, Cedex 13, France

Abstract

In this paper, we prove that every Khovanov homology associated to a Frobenius algebra of rank 2 can be modified in such a way as to produce a TQFT on oriented links, that is a monoidal functor from the category of cobordisms of oriented links to the homotopy category of complexes.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216520500200

Reference16 articles.

1. On Khovanov’s categorification of the Jones polynomial

2. Khovanov’s homology for tangles and cobordisms

3. The Karoubi envelope and Lee’s degeneration of Khovanov homology

4. AN ORIENTED MODEL FOR KHOVANOV HOMOLOGY

5. A theorem of Sanderson on link bordisms in dimension 4

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