arXiv:math/0702666 Abstract

arXiv:math/0702666 [math.DG]Abstract References Reviews Resources

On the Moduli Space of Singular Euclidean Surfaces

Published 2007-02-22, updated 2007-03-28Version 2

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.

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

Journal: in Handbook of Teichmuller theory. Volume I. Zurich: European Mathematical Society (EMS). IRMA Lectures in Mathematics and Theoretical Physics 11, 507-540 (2007)

Categories: math.DG

Subjects: 30F60, 30F45, 32G15

Keywords: singular euclidean surfaces, moduli space, geometric structures, riemann surfaces, deformation theory

Tags: journal article

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