On some symplectic aspects of knot framings

Mauro Spera, Alberto Besana

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

6 Citazioni (Scopus)

Abstract

The present article delves into some symplectic features arising in basic knot theory. An interpretation of the writhing number of a knot (with reference to a plane projection thereof) is provided in terms of a phase function analogous to those encountered in geometric optics, its variation upon switching a crossing being akin to the passage through a caustic, yielding a knot theoretical analogue of Maslov's theory. A novel derivation of the Feynman-Onsager relation is provided. A geometrical setting for the ground state wave functions appearing in the theory of the Fractional Quantum Hall effect is provided,
Lingua originaleEnglish
pagine (da-a)883-912
Numero di pagine30
RivistaJournal of Knot Theory and its Ramifications
Volume15
Stato di pubblicazionePubblicato - 2006

Keywords

  • Framing of knots, symplectic geometry, Chern-Simons action

Fingerprint Entra nei temi di ricerca di 'On some symplectic aspects of knot framings'. Insieme formano una fingerprint unica.

Cita questo