Teichmueller space via Kuranishi families
Algebraic Geometry
2009-04-08 v2 Complex Variables
Abstract
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.
Keywords
Cite
@article{arxiv.math/0702437,
title = {Teichmueller space via Kuranishi families},
author = {Enrico Arbarello and Maurizio Cornalba},
journal= {arXiv preprint arXiv:math/0702437},
year = {2009}
}
Comments
26 pages; minor mistakes corrected, references added and corrected