Perturbative invariants of cusped hyperbolic 3-manifolds
Geometric Topology
2023-07-13 v2 High Energy Physics - Theory
Abstract
We prove that a formal power series associated to an ideally triangulated cusped hyperbolic 3-manifold (together with some further choices) is a topological invariant. This formal power series is conjectured to agree to all orders in perturbation theory with two important topological invariants of hyperbolic knots, namely the Kashaev invariant and the Andersen--Kashaev invariant (also known as the state-integral) of Teichm\"uller TQFT.
Keywords
Cite
@article{arxiv.2305.14884,
title = {Perturbative invariants of cusped hyperbolic 3-manifolds},
author = {Stavros Garoufalidis and Matthias Storzer and Campbell Wheeler},
journal= {arXiv preprint arXiv:2305.14884},
year = {2023}
}
Comments
48 pages, 2 figures