Teichmueller space via Kuranishi families

Details Teichmueller space via Kuranishi families Teichmueller space via Kuranishi families

2007-02-15

arxiv.org/abs/math/0702437v2

Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 8 (2009), 89-116

Mathematics

Algebraic Geometry

26 pages; minor mistakes corrected, references added and corrected

Scientific paper

10.2422/2036-2145.2009.1.05

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

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