3 papers
math.DG2024
Computations regarding the torsion homology of Oeljeklaus-Toma manifolds
Dung Phuong Phan, Tuan Anh Bui, Alexander D. Rahm
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 an…
math.KT2020
On Farrell-Tate cohomology of GL(3) over rings of quadratic integers
Bui Anh Tuan, Alexander D. Rahm, Matthias Wendt
The goal of the present paper is to push forward the frontiers of computations on Farrell-Tate cohomology for arithmetic groups. The conjugacy classification of cyclic subgroups is…
math.AT2017
Verification of the Quillen conjecture in the rank 2 imaginary quadratic case
Bui Anh Tuan, Alexander Rahm
We confirm a conjecture of Quillen in the case of the mod cohomology of arithmetic groups , where ${\m…