有关奥勒耶克劳斯-托马流形扭转同调的计算

arXiv - MATH - K-Theory and Homology Pub Date : 2024-06-21 DOI:arxiv-2406.14942

Dung Phuong PhanGAATI, UPF, Tuan Anh BuiHCMUS, Alexander D. RahmGAATI, UPF

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引用次数: 0

摘要

本文研究了奥勒耶克劳斯-托马（OT）流形塔中的扭转同调行为。在曲面（即 S^{0}$ 类型的井上曲面）的情况下，扭力在 $H_1$ 和 $H_2$ 中根据一个参数呈指数增长，这个参数在井上的经典论文中已经发挥了作用。这促使我们在所有同调度中进行实例计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Computations regarding the torsion homology of Oeljeklaus-Toma manifolds

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 $H_1$ and $H_2$ according to a parameters which already plays a role in Inoue's classical paper. This motivates running example calculations in all homological degrees.

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arXiv - MATH - K-Theory and Homology

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