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Pré-publication, Document de travail Année : 2024

Computations regarding the torsion homology of Oeljeklaus-Toma manifolds

Résumé

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 $S^{0}$, the torsion grows exponentially in both $H_{1}$ (as was established by Braunling) and $H_{2}$ (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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Dates et versions

hal-04619504, version 1 (20-06-2024)

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  • HAL Id : hal-04619504 , version 1

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Dung Phuong Phan, Tuan Anh Bui, Alexander D. Rahm. Computations regarding the torsion homology of Oeljeklaus-Toma manifolds. 2024. ⟨hal-04619504⟩
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