Volume 8, issue 1 (2008)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 20
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
The foam and the matrix factorization $\mathit{sl}_3$ link homologies are equivalent

Marco Mackaay and Pedro Vaz

Algebraic & Geometric Topology 8 (2008) 309–342
Abstract

We prove that the universal rational sl3 link homologies which were constructed by Khovanov in [?] and the authors in [?], using foams, and by Khovanov and Rozansky in [?], using matrix factorizations, are naturally isomorphic as projective functors from the category of links and link cobordisms to the category of bigraded vector spaces.

Keywords
$sl_3$, foams, Khovanov, Khovanov–Rozansky, link homology, matrix factorization
Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 57M25, 81R50, 18G60
References
Publication
Received: 16 October 2007
Revised: 5 November 2007
Accepted: 2 January 2008
Published: 12 March 2008
Authors
Marco Mackaay
Departamento de Matemática
Universidade do Algarve
Campus de Gambelas
8005-139 Faro
Portugal
Pedro Vaz
Departamento de Matemática
Universidade do Algarve
Campus de Gambelas
8005-139 Faro
Portugal