Representations of the mapping class group of a non-orientable surface

2014/02/19 by Ferit Deniz, Deniz, Ferit, Wilhelm Singhof +1
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1402.4716

openalex publication_date 2014/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By considering appropriate finite covering spaces of closed non-orientable surfaces, we construct linear representations of their mapping class group which have finite index image in certain big arithmetic groups.

Citations

• A finite set of generators for the homeotopy group of a 2-manifold

Related

• An infinite presentation for the mapping class group of a non-orientable surface with boundary
• Mapping class groups of non-orientable surfaces for beginners
• Mapping class groups are not linear in positive characteristic
• Simple infinite presentations for the mapping class group of a compact non-orientable surface
• An infinite presentation for the twist subgroup of the mapping class group of a compact non-orientable surface