Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization
Symplectic Geometry
2025-11-06 v1 Mathematical Physics
Algebraic Topology
math.MP
Abstract
In this Letter we propose a semiclassical interpretation of the HOMFLYPT polynomial building on the Liu-Ricca hydrodynamical approach to the latter and on the Besana-S. symplectic approach to framing via Brylinski's manifold of mildly singular links.
Keywords
Cite
@article{arxiv.1910.13400,
title = {Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization},
author = {Antonio Michele Miti and Mauro Spera},
journal= {arXiv preprint arXiv:1910.13400},
year = {2025}
}
Comments
5 pages, 2 figures. Extended and revised version of Section 5 of the paper arXiv:1805.01696v2