BooksirmaCollected Volumepp. 507–540

On the moduli space of singular euclidean surfaces

  • Marc Troyanov

    Ecole Polytechnique Fédérale de Lausanne, Switzerland
On the moduli space of singular euclidean surfaces cover
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Abstract

The goal of this article 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.