Triangulations and volume form on moduli spaces of flat surfaces
Langue
en
Article de revue
Ce document a été publié dans
Geometric And Functional Analysis. 2010, vol. 20, n° 1, p. 192-228
Springer Verlag
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
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