Deformations of colored sl(N) link homologies via foams
File(s)
Accepted version
Author(s)
Rose, DEV
Wedrich, P
Type
Journal Article
Abstract
We generalize results of Lee, Gornik and Wu on the structure of deformed
colored sl(N) link homologies to the case of non-generic deformations. To this
end, we use foam technology to give a completely combinatorial construction of
Wu's deformed colored sl(N) 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.
colored sl(N) link homologies to the case of non-generic deformations. To this
end, we use foam technology to give a completely combinatorial construction of
Wu's deformed colored sl(N) 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.
Date Issued
2016-12-21
Date Acceptance
2015-11-19
Citation
Geometry & Topology, 2016, 20 (6), pp.3431-3517
ISSN
1465-3060
Publisher
Mathematical Sciences Publishers (MSP)
Start Page
3431
End Page
3517
Journal / Book Title
Geometry & Topology
Volume
20
Issue
6
Copyright Statement
© 2015 The Authors
Subjects
math.GT
math.GT
math.QA
Notes
64 pages, many figures
Publication Status
Published