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 originale | English |
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pagine (da-a) | 883-912 |
Numero di pagine | 30 |
Rivista | Journal of Knot Theory and its Ramifications |
Volume | 15 |
Stato di pubblicazione | Pubblicato - 2006 |
Keywords
- Framing of knots, symplectic geometry, Chern-Simons action