Chern-Simons Invariants of Torus Links
High Energy Physics - Theory
2015-03-13 v2 Geometric Topology
Quantum Algebra
Abstract
We compute the vacuum expectation values of torus knot operators in Chern-Simons theory, and we obtain explicit formulae for all classical gauge groups and for arbitrary representations. We reproduce a known formula for the HOMFLY invariants of torus links and we obtain an analogous formula for Kauffman invariants. We also derive a formula for cable knots. We use our results to test a recently proposed conjecture that relates HOMFLY and Kauffman invariants.
Keywords
Cite
@article{arxiv.1003.2861,
title = {Chern-Simons Invariants of Torus Links},
author = {Sébastien Stevan},
journal= {arXiv preprint arXiv:1003.2861},
year = {2015}
}
Comments
20 pages, 5 figures; v2: minor changes, version submitted to AHP. The final publication is available at http://www.springerlink.com/content/a2614232873l76h6/