On the Moduli Space of Singular Euclidean Surfaces
Differential Geometry
2008-04-22 v2
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.
Keywords
Cite
@article{arxiv.math/0702666,
title = {On the Moduli Space of Singular Euclidean Surfaces},
author = {Marc Troyanov},
journal= {arXiv preprint arXiv:math/0702666},
year = {2008}
}
Comments
To appear in the Handbook of Teichmuller Theory, vol. 1, ed. A. Papadopoulos, European Math. Society Series, 2007