English

Infinitely many arithmetic hyperbolic rational homology 3-spheres that bound geometrically

Geometric Topology 2022-05-11 v3

Abstract

In this paper we provide the first examples of arithmetic hyperbolic 3-manifolds that are rational homology spheres and bound geometrically either compact or cusped hyperbolic 4-manifolds.

Keywords

Cite

@article{arxiv.2203.01997,
  title  = {Infinitely many arithmetic hyperbolic rational homology 3-spheres that bound geometrically},
  author = {Leonardo Ferrari and Alexander Kolpakov and Alan W. Reid},
  journal= {arXiv preprint arXiv:2203.01997},
  year   = {2022}
}

Comments

19 pages, 1 figure, 1 table; improved exposition, some new results added; auxiliary SageMath code available at (https://github.com/sashakolpakov/dodecahedron-colouring)

R2 v1 2026-06-24T10:01:27.892Z