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Pré-Publication, Document De Travail Année : 2022

THURSTON'S COMPACTIFICATION VIA GEODESIC CURRENTS: THE CASE OF NON-COMPACT FINITE AREA SURFACES

Résumé

In [Bon88], Bonahon gave a construction of Thurston's compactification of Teichmüller space using geodesic currents. His argument only applies in the case of closed surfaces, and there are good reasons for that. We present a variant which applies to surfaces of finite area.
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Dates et versions

hal-03752634 , version 1 (22-08-2022)
hal-03752634 , version 2 (17-05-2023)

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Marie Trin. THURSTON'S COMPACTIFICATION VIA GEODESIC CURRENTS: THE CASE OF NON-COMPACT FINITE AREA SURFACES. 2022. ⟨hal-03752634v2⟩
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