A Model of the Teichmüller space of genus-zero bordered surfaces by period maps

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dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorRadnell, Daviden_US
dc.contributor.authorSchippers, Ericen_US
dc.contributor.authorStaubach, Wolfgangen_US
dc.contributor.departmentDepartment of Mathematics and Systems Analysisen
dc.contributor.organizationUniversity of Manitobaen_US
dc.contributor.organizationUppsala Universityen_US
dc.date.accessioned2019-05-06T09:08:53Z
dc.date.available2019-05-06T09:08:53Z
dc.date.issued2019-02-27en_US
dc.description.abstractWe consider Riemann surfaces S with Σ borders homeomorphic to S 1 and no handles. Using generalized Grunsky operators, we define a period mapping from the infinite-dimensional Teichmüller space of surfaces of this type into the unit ball in the linear space of operators on an n-fold direct sum of Bergman spaces of the disk. We show that this period mapping is holomorphic and injective.en
dc.description.versionPeer revieweden
dc.format.extent20
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationRadnell, D, Schippers, E & Staubach, W 2019, 'A Model of the Teichmüller space of genus-zero bordered surfaces by period maps', Conformal Geometry and Dynamics, vol. 23, no. 3, pp. 32-51. https://doi.org/10.1090/ecgd/332en
dc.identifier.doi10.1090/ecgd/332en_US
dc.identifier.issn1088-4173
dc.identifier.otherPURE UUID: 2f9d069c-57d5-4d69-a9ad-ea4cdfb53b11en_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/2f9d069c-57d5-4d69-a9ad-ea4cdfb53b11en_US
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/33005288/A_Model_of_the_Teichmuller_space_of_genus_zero_bordered_surfaces_by_period_maps.pdf
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/37633
dc.identifier.urnURN:NBN:fi:aalto-201905062753
dc.language.isoenen
dc.publisherAmerican Mathematical Society
dc.relation.fundinginfoThe first author acknowledges the support of the Academy of Finland's project "Algebraic structures and random geometry of stochastic lattice models".
dc.relation.ispartofseriesConformal Geometry and Dynamicsen
dc.relation.ispartofseriesVolume 23, issue 3, pp. 32-51en
dc.rightsopenAccessen
dc.titleA Model of the Teichmüller space of genus-zero bordered surfaces by period mapsen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
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