Seifert cobordisms and the Chen-Yang volume conjecture
Geometric Topology
2025-05-06 v1 Quantum Algebra
Abstract
We study the large asymptotic behavior of the Turaev-Viro invariants of 3-manifolds with toroidal boundary, under the operation of gluing a Seifert-fibered 3-manifold along a component of . We show that the Turaev-Viro invariants volume conjecture is closed under this operation. As an application we prove the volume conjecture for all Seifert fibered 3-manifolds with boundary and for large classes of graph 3-manifolds.
Cite
@article{arxiv.2505.01546,
title = {Seifert cobordisms and the Chen-Yang volume conjecture},
author = {Renaud Detcherry and Efstratia Kalfagianni and Shashini Marasinghe},
journal= {arXiv preprint arXiv:2505.01546},
year = {2025}
}