ℂ-Fuchsian subgroups of some non-arithmetic lattices

2021/11/30 by Li-Jie Sun, Sun, Li-Jie
Mathematics · #Analytic and geometric function theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.GT

paper · pdf · doi:10.48550/arxiv.2111.15038

We added more details on the presentation of C-Fuchsian group

openalex publication_date 2021/11/30 · arxiv created 2022/04/01 · arxiv updated 2022/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a general procedure to analyze the structure for certain ℂ-Fuchsian subgroups of some non-arithmetic lattices. We will also show that their fundamental domains lie in a complex geodesic, a set homeomorphic to the unit disk.

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