On virtual chirality of 3-manifolds
Geometric Topology
2025-04-29 v1
Abstract
We prove that if a prime 3-manifold M is not finitely covered by the 3-sphere or a product manifold, then M is virtually chiral, i.e. it has a finite cover that does not admit an orientation reversing self-homeomorphism. In general if a 3-manifold contains a virtually chiral prime summand, then it is virtually chiral.
Cite
@article{arxiv.2504.19805,
title = {On virtual chirality of 3-manifolds},
author = {Hongbin Sun and Zhongzi Wang},
journal= {arXiv preprint arXiv:2504.19805},
year = {2025}
}
Comments
14 pages, no figures. Comments are welcome!