The Fenchel-Nielsen twist in terms of the cross ratio

2022/12/20 by Takeru Asaka, Asaka, Takeru
Mathematics · #51H25 #Combinatorics (math.CO) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2212.09942

openalex publication_date 2022/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the Fenchel-Nielsen twist in the enhanced Teichmüller space of a marked surface by the cross ratio coordinates.

Related

• Trimmed sums of twists and the area Siegel-Veech constant
• Length series on Teichmuller space
• Combination of affine deformations on a hyperbolic surface
• Collar parameters for Teichmuller Space & Measured Foliations on a Surface Research Announcement
• Dehn twist--crosscap slide presentations for involutions on non-orientable surfaces of genera up to 5