Torus Knots in Lens Spaces & Topological Strings
High Energy Physics - Theory
2014-06-24 v2 Geometric Topology
Abstract
We study the invariant of knots in lens spaces defined from quantum Chern-Simons theory. By means of the knot operator formalism, we derive a generalization of the Rosso-Jones formula for torus knots in L(p,1). In the second part of the paper, we propose a B-model topological string theory description of torus knots in L(2,1).
Keywords
Cite
@article{arxiv.1308.5509,
title = {Torus Knots in Lens Spaces & Topological Strings},
author = {Sébastien Stevan},
journal= {arXiv preprint arXiv:1308.5509},
year = {2014}
}
Comments
31 pages, 2 figures; v2: section 2 rewritten, other minor changes