paper

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

arXiv:2203.01997

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.

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