Teichmüller space via Kuranishi families

Enrico Arbarello, Maurizio Cornalba

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

In this partly expository note we construct Teichmiiller space by patching together Kuranishi families. We also discuss the basic properties of Teichmiiller space, and in particular show that our construction leads to simplifications in the proof of Teichmiiller's theorem asserting that the genus g Teichmiiller space is homeomorphic to a (6g-6)-dimensional ball.

Original languageEnglish
Pages (from-to)89-116
Number of pages28
JournalAnnali della Scuola Normale - Classe di Scienze
Volume8
Issue number1
Publication statusPublished - 2009
Externally publishedYes

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