On Hempel pairs and Turaev--Viro invariants
Geometric Topology
2024-02-02 v2 Quantum Algebra
Abstract
Surface bundles arising from periodic mapping classes may sometimes have non-isomorphic, but profinitely isomorphic fundamental groups. Pairs of this kind have been discovered by Hempel. This paper exhibits examples of nontrivial Hempel pairs where the mapping tori can be distinguished by some Turaev--Viro invariants, and also examples where they cannot be distinguished by any Turaev--Viro invariants.
Keywords
Cite
@article{arxiv.2303.14775,
title = {On Hempel pairs and Turaev--Viro invariants},
author = {Yi Liu},
journal= {arXiv preprint arXiv:2303.14775},
year = {2024}
}
Comments
22 pages; calculation corrected; Remark 4.2 added