On virtual chirality of 3‐manifolds
Abstract We prove that if a prime 3‐manifold is not finitely covered by the 3‐sphere or a product manifold, then is virtually chiral, that is, 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.
Authors
- Hongbin Sun (ORCID: https://orcid.org/0000-0003-0368-7592)
- Zhongzi Wang
Institutions
- Rutgers, The State University of New Jersey (US)
- Peking University (CN)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2026-03-27
- DOI
- https://doi.org/10.1112/blms.70341
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00