On the moduli space of singular Euclidean surfaces

Troyanov, M2008-05-142008-05-142008-05-142007https://infoscience.epfl.ch/handle/20.500.14299/25771The 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.Euclidean surfacesconical singularitiesTeichmüller theoryOn the moduli space of singular Euclidean surfacestext::book/monograph::book part or chapter