Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams
Geometric Topology
2020-08-04 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Abstract
We conjecture a closed-form expression of HOMFLY-PT invariants of double twist knots colored by rectangular Young diagrams where the twist is encoded in interpolation Macdonald polynomials. We also put forth a conjecture of cyclotomic expansions of HOMFLY-PT polynomials colored by rectangular Young diagrams for any knot.
Keywords
Cite
@article{arxiv.1902.02275,
title = {Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams},
author = {Masaya Kameyama and Satoshi Nawata and Runkai Tao and Hao Derrick Zhang},
journal= {arXiv preprint arXiv:1902.02275},
year = {2020}
}
Comments
10 pages, 3 figures, Mathematica files are attached as ancillary files; v2 typos are corrected; v3 published version