Torsion homology growth and cycle complexity of arithmetic manifolds
Torsion homology growth and cycle complexity of arithmetic manifolds
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 …