Exact computation of the n-loop invariants of knots
Geometric Topology
2015-04-22 v2 High Energy Physics - Theory
Abstract
The loop invariants of Dimofte-Garoufalidis is a formal power series with arithmetically interesting coefficients that conjecturally appears in the asymptotics of the Kashaev invariant of a knot to all orders in . We develop methods implemented in SnapPy that compute the first 6 coefficients of the formal power series of a knot. We give examples that illustrate our method and its results.
Keywords
Cite
@article{arxiv.1503.02554,
title = {Exact computation of the n-loop invariants of knots},
author = {Stavros Garoufalidis and Eric Sabo and Shane Scott},
journal= {arXiv preprint arXiv:1503.02554},
year = {2015}
}
Comments
7 pages, 1 figure