2012/09/18 by Mary Rees, Rees, Mary
Computer Science · Mathematics · #37D40 #37E05 #37F30 #Advanced Combinatorial Mathematics #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.DS #math.GT #msc:37D40 #msc:37E05 #msc:37F30 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1209.3953
31 pages. arXiv admin note: text overlap with arXiv:math/0404007
arxiv created 2012/09/18 · openalex publication_date 2012/09/18 · arxiv updated 2012/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that every Teichmuller geodesic of a finite type surface contains a string of intersecting long, thick and dominant segments, such that the distance between consecutive segments is bounded. This is key to obtaining some results about Teichmuller geodesics which mimic those for hyperbolic geodesics. These results have important applications to results about the geometry of hyperbolic three-manifolds.