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Computations regarding the torsion homology of Oeljeklaus-Toma manifolds
Dung Phuong Phan, Tuan Anh Bui, Alexander D. Rahm
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This article investigates the torsion homology behaviour in towers of Oeljeklaus-Toma (OT) manifolds. This adapts an idea of Silver and Williams from knot theory to OT-manifolds and extends it to higher degree homology groups. In the case of surfaces, i.e. Inoue surfaces of type S⁰, the torsion grows exponentially in both H₁ (as was established by Braunling) and H₂ (our result) according to a parameter which already plays a role in Inoue's classical paper, and we obtain that the torsion vanishes in all higher degrees. This motivates our presented machine calculations for OT-manifolds of higher dimension.
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