1-loop equals torsion for two-bridge knots
Geometric Topology
2024-11-14 v2
Abstract
Motivated by the conjectured asymptotics of the Kashaev invariant, Dimofte and the first author introduced a power series associated to a suitable ideal triangulation of a cusped hyperbolic 3-manifold, proved that its constant (1-loop) term is a topological invariant and conjectured that it equals to the adjoint Reidemeister torsion. We prove this conjecture for hyperbolic 2-bridge knots by combining the work of Ohtsuki--Takata with an explicit computation.
Cite
@article{arxiv.2411.03801,
title = {1-loop equals torsion for two-bridge knots},
author = {Stavros Garoufalidis and Seokbeom Yoon},
journal= {arXiv preprint arXiv:2411.03801},
year = {2024}
}
Comments
24 pages, 20 figures