On the topology of $H(2)$
| hal.structure.identifier | Équipe Géométrie | |
| dc.contributor.author | NGUYEN, Duc-Manh | |
| dc.date.accessioned | 2024-04-04T02:18:29Z | |
| dc.date.available | 2024-04-04T02:18:29Z | |
| dc.date.created | 2012-03-08 | |
| dc.date.issued | 2014-07-15 | |
| dc.identifier.issn | 1661-7207 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189318 | |
| dc.description.abstractEn | In this paper, we first single out a proper subgroup \Gamma of Sp(4,Z) generated by three elements, which arises from the parallelogram decompositions of translation surfaces in H(2). We then prove that the space H(2)/C* can be identified to the quotient J_2/\Gamma, where J_2 is the Jacobian locus in the Siegel upper half space H_2, in other words, the group \Gamma is the image in Sp(4,Z) of the fundamental group of the space H(2)/C*. A direct consequence of this fact is that [Sp(4,Z):\Gamma]=6. | |
| dc.language.iso | en | |
| dc.publisher | European Mathematical Society | |
| dc.title.en | On the topology of $H(2)$ | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4171/GGD/236 | |
| dc.subject.hal | Mathématiques [math]/Topologie géométrique [math.GT] | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| dc.identifier.arxiv | 1003.0864 | |
| bordeaux.journal | Groups, Geometry, and Dynamics | |
| bordeaux.page | 513-551 | |
| bordeaux.volume | 8 (2014) | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00974004 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00974004v1 | |
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