Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization

Antonio Michele Miti; Mauro Spera

doi:10.1007/s40574-020-00254-5

Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization

Antonio Michele Miti^*
, Mauro Spera

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo › peer review

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.

Lingua originale	Inglese
pagine (da-a)	269-284
Numero di pagine	16
Rivista	Bolletino dell Unione Matematica Italiana
Volume	14
Numero di pubblicazione	Giugno
DOI	https://doi.org/10.1007/s40574-020-00254-5
Stato di pubblicazione	Pubblicato - 2021

All Science Journal Classification (ASJC) codes

Matematica generale

Keywords

Knot polynomials
Lagrangian submanifolds
Maslov index.
geometric quantization
hydrodynamics
symplectic geometry

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10.1007/s40574-020-00254-5

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keywords = "Knot polynomials, Lagrangian submanifolds, Maslov index., geometric quantization, hydrodynamics, symplectic geometry, Knot polynomials, Lagrangian submanifolds, Maslov index., geometric quantization, hydrodynamics, symplectic geometry",

author = "Miti, \{Antonio Michele\} and Mauro Spera",

year = "2021",

doi = "10.1007/s40574-020-00254-5",

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KW - Knot polynomials

KW - Lagrangian submanifolds

KW - Maslov index.

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KW - hydrodynamics

KW - symplectic geometry

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KW - hydrodynamics

KW - symplectic geometry

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Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Accesso al documento

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