Torsion homology growth and cycle complexity of arithmetic manifolds
Number Theory
2016-08-17 v1 Geometric Topology
Abstract
Let M be an arithmetic hyperbolic 3-manifold, such as a Bianchi manifold. We conjecture that there is a basis for the second homology of M, where each basis element is represented by a surface of `low' genus, and give evidence for this. We explain the relationship between this conjecture and the study of torsion homology growth.
Keywords
Cite
@article{arxiv.1401.6989,
title = {Torsion homology growth and cycle complexity of arithmetic manifolds},
author = {Nicolas Bergeron and Mehmet Haluk Sengun and Akshay Venkatesh},
journal= {arXiv preprint arXiv:1401.6989},
year = {2016}
}