Foundations of the Colored Jones Polynomial of singular knots
Geometric Topology
2017-09-26 v3
Abstract
This article gives the foundations of the colored Jones polynomial for singular knots. We extend Masbum and Vogel's algorithm to compute the colored Jones polynomial for any singular knot. We also introduce the tail of the colored Jones polynomial of singular knots and use its stability properties to prove a false theta function identity that goes back to Ramanujan.
Keywords
Cite
@article{arxiv.1705.02446,
title = {Foundations of the Colored Jones Polynomial of singular knots},
author = {Mohamed Elhamdadi and Mustafa Hajij},
journal= {arXiv preprint arXiv:1705.02446},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1512.00129