An Exact Expression for a Flat Connection on the Complement of a Torus Knot
Mathematical Physics
2015-01-09 v2 High Energy Physics - Theory
math.MP
Abstract
Simple physics ideas are used to derive an exact expression for a flat connection on the complement of a torus knot. The result is of some mathematical importance in the context of constructing representations of the knot group -- a topological invariant of the knot. It is also a step forward in the direction of obtaining a generalisation of the Aharonov-Bohm effect, in which charged particles moving through force-free regions are scattered by impenetrable, knotted solenoids.
Cite
@article{arxiv.1302.0354,
title = {An Exact Expression for a Flat Connection on the Complement of a Torus Knot},
author = {V. V. Sreedhar},
journal= {arXiv preprint arXiv:1302.0354},
year = {2015}
}
Comments
7 pages, 1 figure