In this note we propose a geometric quantization interpretation of the HOMFLYPT polynomial, taking inspiration from the Liu-Ricca hydrodynamical approach to the latter and building on the Besana-S. symplectic approach to framing via Brylinski’s manifold of mildly singular links.

Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization / Miti, A. M.; Spera, M.. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 2198-2759. - 14:2(2021), pp. 269-284. [10.1007/s40574-020-00254-5]

Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization

Miti, A. M.;
2021

Abstract

In this note we propose a geometric quantization interpretation of the HOMFLYPT polynomial, taking inspiration from the Liu-Ricca hydrodynamical approach to the latter and building on the Besana-S. symplectic approach to framing via Brylinski’s manifold of mildly singular links.
2021
Knot polynomials; symplectic geometry; Lagrangian submanifolds; hydrodynamics; geometric quantization; Maslov index
01 Pubblicazione su rivista::01a Articolo in rivista
Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization / Miti, A. M.; Spera, M.. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 2198-2759. - 14:2(2021), pp. 269-284. [10.1007/s40574-020-00254-5]
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Note: In this note we propose a geometric quantization interpretation of the HOMFLYPT polynomial, taking inspiration from the Liu-Ricca hydrodynamical approach to the latter and building on the Besana-S. symplectic approach to framing via Brylinski’s manifold of mildly singular links.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1726313
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