On various Teichmüller spaces of a surface of infinite topological type

Alessandrini, Daniele; Liu, Lixin; Papadopoulos, Athanase; Su, Weixu

doi:10.1090/S0002-9939-2011-10918-3

On various Teichmüller spaces of a surface of infinite topological type
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by Daniele Alessandrini, Lixin Liu, Athanase Papadopoulos and Weixu Su PDF

Proc. Amer. Math. Soc. 140 (2012), 561-574 Request permission

Abstract:

We investigate various Teichmüller spaces associated to a surface of infinite topological type. We show that the length spectrum metric is complete. We give results and examples that compare the length spectrum Teichmüller space with the quasiconformal and the Fenchel-Nielsen Teichmüller spaces.

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