|
|||||
|
|
|
|
|
|
|
|
|
Deformations of colored
$\mathfrak{sl}_{N}$ link homologies via foams
David E V Rose and Paul Wedrich |
|
Geometry & Topology 20 (2016) 3431–3517
|
Abstract |
|
We prove a conjectured decomposition of deformed link homology, as well as an extension to the case of colored links, generalizing results of Lee, Gornik, and Wu. To this end, we use foam technology to give a completely combinatorial construction of Wu’s deformed colored link homologies. By studying the underlying deformed higher representation-theoretic structures and generalizing the Karoubi envelope approach of Bar-Natan and Morrison, we explicitly compute the deformed invariants in terms of undeformed type A link homologies of lower rank and color. |
Keywords
categorification, link homology, spectral sequence
|
Mathematical Subject Classification 2010
Primary: 17B37, 57M25, 81R50
|
References |
Publication
Received: 10 May 2015
Revised: 6 October 2015
Accepted: 19 November 2015
Published: 21 December 2016
Proposed: Ciprian Manolescu
Seconded: Tomasz Mrowka, Ronald Stern
|
Authors |
| David E V Rose | |
| University of North Carolina at
Chapel Hill Mathematics Department 120 E Cameron Avenue CB #3250 329 Phillips Hall Chapel Hill, NC 27599 United States |
|
| http://www.unc.edu/~davidev/ | |
| Paul Wedrich | |
| Department of Mathematics Imperial College London London SW7 2AZ United Kingdom |
|
| http://paul.wedrich.at | |
|
