Triangulations and volume form on moduli spaces of flat surfaces
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | NGUYEN, Duc-Manh | |
dc.date.accessioned | 2024-04-04T02:18:30Z | |
dc.date.available | 2024-04-04T02:18:30Z | |
dc.date.created | 2010-02-17 | |
dc.date.issued | 2010 | |
dc.identifier.issn | 1016-443X | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189321 | |
dc.description.abstractEn | 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. | |
dc.language.iso | en | |
dc.publisher | Springer Verlag | |
dc.title.en | Triangulations and volume form on moduli spaces of flat surfaces | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1007/s00039-010-0056-9 | |
dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
dc.subject.hal | Mathématiques [math]/Topologie géométrique [math.GT] | |
dc.identifier.arxiv | 1002.3279 | |
bordeaux.journal | Geometric And Functional Analysis | |
bordeaux.page | 192-228 | |
bordeaux.volume | 20 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 1 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00973992 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00973992v1 | |
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