Knots and ones
Geometric Topology
2017-03-06 v1 High Energy Physics - Theory
Number Theory
Abstract
We give a number theoretic proof of the integrality of certain BPS invariants of knots. The formulas for these numbers are sums involving binomial coefficients and the M\"obius function. We also prove a conjecture about further divisibility properties of the invariants.
Keywords
Cite
@article{arxiv.1703.00990,
title = {Knots and ones},
author = {Estelle Basor and Brian Conrey and Kent E. Morrison},
journal= {arXiv preprint arXiv:1703.00990},
year = {2017}
}