Parametrizations of Teichmüller Space and Its Thurston Boundary

Ursula Hamenstädt ()
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Ursula Hamenstädt: Universität Bonn, Mathematisches Institut

A chapter in Geometric Analysis and Nonlinear Partial Differential Equations, 2003, pp 81-88 from Springer

Abstract: Summary For g ≥ 2 let τ g be the Teichmüller space of hyperbolic metrics on a closed surface of genus g, and let ∂τ g be its Thurston boundary. Using intersection with 6g – 5 simple closed geodesics, we construct an embedding of ∂τ g into the real projective space ℝP 6g-6.

Keywords: Dehn Twist; Hyperbolic Structure; Boundary Circle; Train Track; Simple Closed Curf (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55627-2_5

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DOI: 10.1007/978-3-642-55627-2_5

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