Extensions of Veech groups I: A hyperbolic action

Given a lattice Veech group in the mapping class group of a closed surface \(S\), this paper investigates the geometry of \(\Gamma\), the associated \(\pi_1S\)--extension group. We prove that \(\Gamma\) is the fundamental group of a bundle with a singular Euclidean-by-hyperbolic geometry. Our main r...

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Veröffentlicht in:	arXiv.org 2024-03
Hauptverfasser:	Dowdall, Spencer, Durham, Matthew G, Leininger, Christopher J, Sisto, Alessandro
Format:	Artikel
Sprache:	eng
Schlagworte:	Geometry Mapping Mathematics - Geometric Topology Mathematics - Group Theory
Online-Zugang:	Volltext
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