On the Moduli Space of Singular Euclidean Surfaces

Details On the Moduli Space of Singular Euclidean Surfaces On the Moduli Space of Singular Euclidean Surfaces

2007-02-22

arxiv.org/abs/math/0702666v2

in Handbook of Teichmuller theory. Volume I. Zurich: European Mathematical Society (EMS). IRMA Lectures in Mathematics and The

Mathematics

Differential Geometry

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

Scientific paper

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.

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