Triangulations and volume form on moduli spaces of flat surfaces
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en
Article de revue
Este ítem está publicado en
Geometric And Functional Analysis. 2010, vol. 20, n° 1, p. 192-228
Springer Verlag
Resumen en inglés
In this paper, we are interested in flat metric structures with conical singularities on surfaces which are obtained by deforming translation surface structures. The moduli space of such flat metric structures can be viewed ...Leer más >
In this paper, we are interested in flat metric structures with conical singularities on surfaces which are obtained by deforming translation surface structures. The moduli space of such flat metric structures can be viewed as some deformation of the moduli space of translation surfaces. Using geodesic triangulations, we define a volume form on this moduli space, and show that, in the well-known cases, this volume form agrees with usual ones, up to a multiplicative constant.< Leer menos
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