On reflections of congruence hyperbolic manifolds

2025/06/30 by Sami Douba, Douba, Sami, Franco Vargas Pallete +1
Mathematics · #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2506.23994

openalex publication_date 2025/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the standard method for constructing closed hyperbolic manifolds of arbitrary dimension possessing reflective symmetries typically produces reflections whose fixed point sets are nonseparating.

Citations

• L²-Betti numbers of branched covers of hyperbolic manifolds
• Growth of k-dimensional systoles in congruence coverings
• Approximate subgroups and super-strong approximation

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