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Torsion homology growth and cycle complexity of arithmetic manifolds
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Torsion homology growth and cycle complexity of arithmetic manifolds
classification
math.NT
math.GT
keywords
homologyarithmeticbasisconjecturegrowthmanifoldtorsionbianchi
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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.
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