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https://dipositint.ub.edu/dspace/handle/2445/49370
Full metadata record
DC Field | Value | Language |
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dc.contributor.advisor | Casacuberta, Carles | - |
dc.contributor.advisor | Randal-Williams, Oscar | - |
dc.contributor.author | Cantero Morán, Federico | - |
dc.contributor.other | Universitat de Barcelona. Departament d'Àlgebra i Geometria | - |
dc.date.accessioned | 2014-02-04T10:12:18Z | - |
dc.date.available | 2014-02-04T10:12:18Z | - |
dc.date.issued | 2013-07-03 | - |
dc.identifier.uri | http://hdl.handle.net/2445/49370 | - |
dc.description.abstract | [spa] En esta tesis estudiamos el espacio de subsuperficies compactas, conexas y orientadas de género g de una variedad ambiente M, y en particular sus propiedades homológicas. En particular, construimos una aplicación scanning que compara este espacio con el espacio de secciones de un cierto fibrado sobre M asociado a su fibrado tangente, y mostramos que esta aplicación induce un isomorfismo en homología en cierto rango. Nuestros resultados son análogos al teorema de McDuff sobre espacios de configuraciones, generalizados de 0-subvariedades a 2-subvariedades. | - |
dc.description.abstract | [eng] In this thesis we study the space of compact connected oriented genus g subsurfaces of a fixed manifold M, and in particular its homological properties. We construct a “scanning map” which compares this space to the space of sections of a certain fibre bundle over M associated to its tangent bundle, and show that this map induces an isomorphism on homology in a range of degrees. Our results are analogous to McDuff’s theorem on configuration spaces, extended from 0-submanifolds to 2-submanifolds. | - |
dc.format.extent | 144 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Universitat de Barcelona | - |
dc.rights | cc-by, (c) Cantero, 2013 | - |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/ | - |
dc.source | Tesis Doctorals - Departament - Algebra i Geometria | - |
dc.subject.classification | Classes característiques | - |
dc.subject.classification | Superfícies (Matemàtica) | - |
dc.subject.other | Characteristic classes | - |
dc.subject.other | Surfaces (Mathematics) | - |
dc.title | Homology Stability for Spaces of Surfaces | - |
dc.type | info:eu-repo/semantics/doctoralThesis | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.dl | B. 3441-2014 | - |
dc.date.updated | 2014-02-04T10:12:19Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
dc.identifier.tdx | http://hdl.handle.net/10803/129511 | - |
Appears in Collections: | Tesis Doctorals - Departament - Algebra i Geometria |
Files in This Item:
File | Description | Size | Format | |
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FCM_THESIS.pdf | 1.08 MB | Adobe PDF | View/Open |
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