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Rank two affine submanifolds in $\mathcal{H}(2,2)$ and $\mathcal{H}(3,1)$

hal.structure.identifierUniversity of Chicago
dc.contributor.authorAULICINO, David
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorNGUYEN, Duc-Manh
dc.date.accessioned2024-04-04T03:16:15Z
dc.date.available2024-04-04T03:16:15Z
dc.date.issued2016-10-07
dc.identifier.issn1465-3060
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194200
dc.description.abstractEnWe 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.isoen
dc.publisherMathematical Sciences Publishers
dc.rights.urihttp://hal.archives-ouvertes.fr/licences/publicDomain/
dc.subject.enmoduli space
dc.subject.entranslation surface
dc.title.enRank two affine submanifolds in $\mathcal{H}(2,2)$ and $\mathcal{H}(3,1)$
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Topologie géométrique [math.GT]
dc.subject.halMathématiques [math]/Systèmes dynamiques [math.DS]
dc.identifier.arxiv1501.03303
bordeaux.journalGeometry and Topology
bordeaux.page2837-2904
bordeaux.volume20
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue5
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01255716
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01255716v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Geometry%20and%20Topology&rft.date=2016-10-07&rft.volume=20&rft.issue=5&rft.spage=2837-2904&rft.epage=2837-2904&rft.eissn=1465-3060&rft.issn=1465-3060&rft.au=AULICINO,%20David&NGUYEN,%20Duc-Manh&rft.genre=article


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