Categorified sl(N) invariants of colored rational tangles
Geometric Topology
2019-03-20 v2 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1404.2736,
title = {Categorified sl(N) invariants of colored rational tangles},
author = {Paul Wedrich},
journal= {arXiv preprint arXiv:1404.2736},
year = {2019}
}
Comments
45 pages, many figures, uses dcpic.sty, v2: minor changes and new example 51