In this note we construct Teichmüller space by patching together Kuranishi families. We also discuss the basic properties of Teichmüler space, and in particular show that our construction leads to simplifications in the proof of Teichmüller’s theorem asserting that the genus g Teichmüller space is homeomorphic to a (6g ? 6)-dimensional ball.
Teichmüller space via Kuranishi families / Arbarello, Enrico; Cornalba, M.. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - VIII:(2009), pp. 89-116.
Teichmüller space via Kuranishi families
ARBARELLO, Enrico;
2009
Abstract
In this note we construct Teichmüller space by patching together Kuranishi families. We also discuss the basic properties of Teichmüler space, and in particular show that our construction leads to simplifications in the proof of Teichmüller’s theorem asserting that the genus g Teichmüller space is homeomorphic to a (6g ? 6)-dimensional ball.File allegati a questo prodotto
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