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March 29, 2026Bulletin of the London Mathematical Society0 citationsOpen Access

Virtual Chirality of Prime 3-Manifolds and Their Covers

On virtual chirality of 3‐manifolds

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Authors

HSHongbin SunZWZhongzi Wang

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Overview

Reveals that certain prime 3-manifolds are virtually chiral, suggesting new geometric properties in topology.

Key Points

  • The aim is to establish that certain prime 3-manifolds exhibit virtual chirality if they are not finitely covered by simpler structures.
  • Theoretical proofs regarding manifold properties
  • Analysis of orientation-reversing self-homeomorphisms
  • Examination of finite covers of prime manifolds
  • Identified conditions under which a prime 3-manifold is virtually chiral
  • Demonstrated that the presence of a virtually chiral prime summand implies overall virtual chirality

Cite This Study

Sun et al. (2026) studied this question.

synapsesocial.com/papers/69c8c35cde0f0f753b39e1a4https://doi.org/10.1112/blms.70341
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1The Geometries of 3-Manifolds1983 · 1,506 citations
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  3. 3Hyperbolic 3-manifold groups are subgroup into conjugacy separable2022 · 1 citations
  4. 4A characterization of virtually embedded subsurfaces in 3-manifolds2015 · 21 citations
  5. 5Realising sets of integers as mapping degree sets2023 · 4 citations