Rank two affine submanifolds in $\mathcal{H}(2,2)$ and $\mathcal{H}(3,1)$
| hal.structure.identifier | University of Chicago | |
| dc.contributor.author | AULICINO, David | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | NGUYEN, Duc-Manh | |
| dc.date.accessioned | 2024-04-04T03:16:15Z | |
| dc.date.available | 2024-04-04T03:16:15Z | |
| dc.date.issued | 2016-10-07 | |
| dc.identifier.issn | 1465-3060 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194200 | |
| dc.description.abstractEn | We classify all rank two affine manifolds in strata in genus three with two zeros. This confirms a conjecture of Maryam Mirzakhani in these cases. Several technical results are proven for all strata in genus three, with the hope that they may shed light on a complete classification of rank two manifolds in genus three. | |
| dc.language.iso | en | |
| dc.publisher | Mathematical Sciences Publishers | |
| dc.rights.uri | http://hal.archives-ouvertes.fr/licences/publicDomain/ | |
| dc.subject.en | moduli space | |
| dc.subject.en | translation surface | |
| dc.title.en | Rank two affine submanifolds in $\mathcal{H}(2,2)$ and $\mathcal{H}(3,1)$ | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Topologie géométrique [math.GT] | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| dc.identifier.arxiv | 1501.03303 | |
| bordeaux.journal | Geometry and Topology | |
| bordeaux.page | 2837-2904 | |
| bordeaux.volume | 20 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 5 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01255716 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01255716v1 | |
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