On the moduli space of singular Euclidean surfaces

By Marc Troyanov. 2007

58 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ab004aceee164b98e0eb0646437ce4746a67696b

Citations in the corpus

• Braid groups and Hodge theory (2013, unknown): “For other perspectives, see [V3] and [Tr].”