Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2019
- DOI:
- 10.48550/arXiv.1910.13400
- arXiv:
- arXiv:1910.13400
- Bibcode:
- 2019arXiv191013400M
- Keywords:
-
- Mathematics - Symplectic Geometry;
- Mathematical Physics;
- Mathematics - Algebraic Topology;
- 53D50;
- 58D10;
- 53D12;
- 53D20;
- 57M25;
- 76B47;
- 81S10
- E-Print:
- 5 pages, 2 figures. Extended and revised version of Section 5 of the paper arXiv:1805.01696v2