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/
| Summary: | 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 |
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