On Higher dimensional exact courant algebroids
In this thesis we establishes an equivalence of categories between the category of certain differential graded (dg-) Lie algebroids on the odd tangent bundle of a manifold and the category of (higher-dimensional) exact Courant algebroids on the manifold. In addition, it is shown that the above menti...
- Autores:
-
Rengifo Gutiérrez, Camilo
- Tipo de recurso:
- Doctoral thesis
- Fecha de publicación:
- 2015
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/7685
- Acceso en línea:
- http://hdl.handle.net/1992/7685
- Palabra clave:
- Algebroides de Lie
Algebroides de Courant
Grupos abelianos
Operaciones cohomológicas
Matemáticas
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/4.0/
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Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Bressler, Paul03d5e466-716b-4e66-b5fc-5ed94f2fefb5500Bursztyn, Henrique3fc4c118-2aee-414b-b7bc-5e105f1b8a24500Zambon, Marco9dde9f08-f9c9-4c55-b6e6-95e40724f56e500Malakhaltsev, Mikhail A.4449537e-4db2-41db-ba88-ccc109358697500Rengifo Gutiérrez, Camilo77175b9c-557a-43d7-8d68-00617011bc025002018-09-27T16:36:08Z2018-09-27T16:36:08Z2015http://hdl.handle.net/1992/768510.57784/1992/7685u722425.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/In this thesis we establishes an equivalence of categories between the category of certain differential graded (dg-) Lie algebroids on the odd tangent bundle of a manifold and the category of (higher-dimensional) exact Courant algebroids on the manifold. In addition, it is shown that the above mentioned categories are equivalent to the category of dg-principal bundles with structure group the shifted additive group over the odd tangent bundle of the manifoldEn esta tesis se establece una equivalencia de categorías entre la categoría de cierta clases de algebroides diferenciales de Lie con graduación sobre el haz tangente impar a una variedad diferencial y la categoría de algebroides de Courant exactos (de dimensión mayor) sobre la variedad diferencial. Adicionalmente, se demuestra que las categorías mencionadas anteriormente son equivalentes a la categoría de los haces principales diferenciales con graduación con grupo estructural el grupo aditivo corrido por un número natural sobre el haz tangente impar de la variedad diferencialDoctor en MatemáticasDoctorado79 hojasapplication/pdfengUniandesDoctorado en MatemáticasFacultad de CienciasDepartamento de Matemáticasinstname:Universidad de los Andesreponame:Repositorio Institucional SénecaOn Higher dimensional exact courant algebroidsTrabajo de grado - Doctoradoinfo:eu-repo/semantics/doctoralThesishttp://purl.org/coar/resource_type/c_db06http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/TDAlgebroides de LieAlgebroides de CourantGrupos abelianosOperaciones cohomológicasMatemáticasPublicationORIGINALu722425.pdfapplication/pdf918093https://repositorio.uniandes.edu.co/bitstreams/501749d8-a235-42cb-acbc-92ad874141c2/downloade1ee30ce75f2f11c5cc8f0db999ed8ddMD51TEXTu722425.pdf.txtu722425.pdf.txtExtracted texttext/plain117480https://repositorio.uniandes.edu.co/bitstreams/8d625330-b2d1-4058-91d4-41758b658e70/download89f990210866eb7adfd18ddf669b1cc3MD54THUMBNAILu722425.pdf.jpgu722425.pdf.jpgIM Thumbnailimage/jpeg6533https://repositorio.uniandes.edu.co/bitstreams/494e2aa8-4d0c-460b-b3db-116ce050b89d/download78d9b97d5df322fa91b05c81d25a2ecaMD551992/7685oai:repositorio.uniandes.edu.co:1992/76852024-08-26 15:25:38.705http://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co |
| dc.title.es_CO.fl_str_mv |
On Higher dimensional exact courant algebroids |
| title |
On Higher dimensional exact courant algebroids |
| spellingShingle |
On Higher dimensional exact courant algebroids Algebroides de Lie Algebroides de Courant Grupos abelianos Operaciones cohomológicas Matemáticas |
| title_short |
On Higher dimensional exact courant algebroids |
| title_full |
On Higher dimensional exact courant algebroids |
| title_fullStr |
On Higher dimensional exact courant algebroids |
| title_full_unstemmed |
On Higher dimensional exact courant algebroids |
| title_sort |
On Higher dimensional exact courant algebroids |
| dc.creator.fl_str_mv |
Rengifo Gutiérrez, Camilo |
| dc.contributor.advisor.none.fl_str_mv |
Bressler, Paul Bursztyn, Henrique Zambon, Marco Malakhaltsev, Mikhail A. |
| dc.contributor.author.none.fl_str_mv |
Rengifo Gutiérrez, Camilo |
| dc.subject.keyword.es_CO.fl_str_mv |
Algebroides de Lie Algebroides de Courant Grupos abelianos Operaciones cohomológicas |
| topic |
Algebroides de Lie Algebroides de Courant Grupos abelianos Operaciones cohomológicas Matemáticas |
| dc.subject.themes.none.fl_str_mv |
Matemáticas |
| description |
In this thesis we establishes an equivalence of categories between the category of certain differential graded (dg-) Lie algebroids on the odd tangent bundle of a manifold and the category of (higher-dimensional) exact Courant algebroids on the manifold. In addition, it is shown that the above mentioned categories are equivalent to the category of dg-principal bundles with structure group the shifted additive group over the odd tangent bundle of the manifold |
| publishDate |
2015 |
| dc.date.issued.none.fl_str_mv |
2015 |
| dc.date.accessioned.none.fl_str_mv |
2018-09-27T16:36:08Z |
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2018-09-27T16:36:08Z |
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Trabajo de grado - Doctorado |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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info:eu-repo/semantics/doctoralThesis |
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http://purl.org/coar/resource_type/c_db06 |
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Text |
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http://purl.org/redcol/resource_type/TD |
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http://purl.org/coar/resource_type/c_db06 |
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http://hdl.handle.net/1992/7685 |
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10.57784/1992/7685 |
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u722425.pdf |
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reponame:Repositorio Institucional Séneca |
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repourl:https://repositorio.uniandes.edu.co/ |
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http://hdl.handle.net/1992/7685 |
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10.57784/1992/7685 u722425.pdf instname:Universidad de los Andes reponame:Repositorio Institucional Séneca repourl:https://repositorio.uniandes.edu.co/ |
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eng |
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eng |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ |
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info:eu-repo/semantics/openAccess |
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openAccess |
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79 hojas |
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application/pdf |
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Uniandes |
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Doctorado en Matemáticas |
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Facultad de Ciencias |
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Departamento de Matemáticas |
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