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On virtual chirality of 3‐manifolds

Year: 2026

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70341

Authors: Hongbin Sun, Zhongzi Wang

Institutions: Rutgers, The State University of New Jersey, Peking University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

OpenAlex ID: W7141526880

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Cites: 13

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