Categorified sl(N) invariants of colored rational tangles
File(s)ratTangles.pdf (712.31 KB)
Accepted version
Author(s)
Wedrich, P
Type
Journal Article
Abstract
We use categorical skew Howe duality to find recursion rules that compute
categorified sl(N) invariants of rational tangles colored by exterior powers of
the standard representation. Further, we offer a geometric interpretation of
these rules which suggests a connection to Floer theory. Along the way we make
progress towards two conjectures about the colored HOMFLY homology of rational
links.
categorified sl(N) invariants of rational tangles colored by exterior powers of
the standard representation. Further, we offer a geometric interpretation of
these rules which suggests a connection to Floer theory. Along the way we make
progress towards two conjectures about the colored HOMFLY homology of rational
links.
Date Issued
2016-02-23
Date Acceptance
2015-05-26
Citation
Algebraic and Geometric Topology, 2016, 16 (2016), pp.427-782
ISSN
1472-2747
Publisher
Mathematical Sciences Publishers (MSP)
Start Page
427
End Page
782
Journal / Book Title
Algebraic and Geometric Topology
Volume
16
Issue
2016
Copyright Statement
© 2016 The Author
Subjects
math.GT
math.GT
math.QA
Notes
45 pages, many figures, uses dcpic.sty, v2: minor changes and new example 51
Publication Status
Published