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.
Miti, A. M., Spera, M., Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization, <<BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA>>, 2021; 14 (Giugno): 269-284. [doi:10.1007/s40574-020-00254-5] [http://hdl.handle.net/10807/180270]
Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization
Miti, Antonio Michele
Primo
;Spera, MauroSecondo
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.
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