On the Moduli Space of Singular Euclidean Surfaces

Abstract

The goal of this paper is to develop some aspects of the deformation theory of piecewise flat structures on surfaces and use this theory to construct new geometric structures on the moduli space of Riemann surfaces.

To appear in the Handbook of Teichmuller Theory, vol. 1, ed. A. Papadopoulos, European Math. Society Series, 2007

References in corpus (1)

• Complex hyperbolic cone structures on the configuration spaces

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