Finiteness conditions on translation surfaces

2012/03/08 by Joshua P. Bowman, Bowman, Joshua P.
Mathematics · #14K20 (Secondary) #30F30 (Primary) 57M50 #32G15 #Advanced Topology and Set Theory #FOS: Mathematics #Geometric Topology (math.GT) #Holomorphic and Operator Theory #Metric Geometry (math.MG) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1203.1903

openalex publication_date 2012/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider various metric and analytic notions of finiteness on translation surfaces. The Veech group of a surface is discrete if the surface has finite area or is totally bounded.

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