Work

Studies of the torsion in the homology of Oeljeklaus–Toma manifolds

Year: 2025

Type: article

Abstract: This article investigates the torsion homology behaviour in towers of Oeljeklaus–Toma (OT) manifolds. This adapts an idea of Silver–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 Bräunling) 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 one dimension higher.

Source: Differential Geometry and its Applications

DOI: 10.1016/j.difgeo.2025.102304

Authors: Dung Phuong Phan, Tuan Anh Bui, Alexander D. Rahm

Institutions: Ho Chi Minh City University of Technology and Engineering, Géométrie algébrique et applications à la théorie de l'information, University of French Polynesia, Vietnam National University Ho Chi Minh City, Ho Chi Minh City University of Science

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,740

Funders: Agence Nationale de la Recherche, University of Science Ho Chi Minh City