Exponential growth of colored HOMFLY-PT homology
Geometric Topology
2019-06-14 v2 High Energy Physics - Theory
Quantum Algebra
Abstract
We define reduced colored sl(N) link homologies and use deformation spectral sequences to characterize their dependence on color and rank. We then define reduced colored HOMFLY-PT homologies and prove that they arise as large N limits of sl(N) homologies. Together, these results allow proofs of many aspects of the physically conjectured structure of the family of type A link homologies. In particular, we verify a conjecture of Gorsky, Gukov and Sto\v{s}i\'c about the growth of colored HOMFLY-PT homologies.
Keywords
Cite
@article{arxiv.1602.02769,
title = {Exponential growth of colored HOMFLY-PT homology},
author = {Paul Wedrich},
journal= {arXiv preprint arXiv:1602.02769},
year = {2019}
}
Comments
39 pages, many figures. v2: version accepted for publication in Advances in Mathematics