Factorization of polynomials in hyperbolic geometry and dynamics
Geometric Topology
2022-09-20 v1 Number Theory
Abstract
Using factorization theorems for sparse polynomials, we compute the trace field of Dehn fillings of the Whitehead link, and (assuming Lehmer's Conjecture) the minimal polynomial of the small dilatation pseudo-Anosov maps and the trace field of fillings of the figure-8 knot. These results depend on the degrees of the trace fields over Q being sufficiently large.
Keywords
Cite
@article{arxiv.2209.08449,
title = {Factorization of polynomials in hyperbolic geometry and dynamics},
author = {Michael Filaseta and Stavros Garoufalidis},
journal= {arXiv preprint arXiv:2209.08449},
year = {2022}
}
Comments
16 pages, 1 figure