Generalized complex geometry on homogeneous spaces, T-duality and applications to ...
Topics in symplectic geometry and applications to mirror symmetry
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T-dualidade e simetria do espelho em nilvariedades
Full text
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| Author(s): |
Leonardo Soriani Alves
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2019-04-30 |
| Examining board members: |
Lino Anderson da Silva Grama;
Diego Sebastian Ledesma;
Marcos Benevenuto Jardim;
Simon George Chiossi;
Eder de Moraes Correa
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| Advisor: | Lino Anderson da Silva Grama |
| Abstract | |
We study a version of T-duality on nilmanifolds through a Lie theoretic point of view: we build the duality on the nilpotent Lie algebras and integrate it to corresponding nilmanifolds. This allows us to transport generalized complex structures between them using the tools developed by Cavalcanti and Gualtieri. In some cases, this transport exhibits a mirror symmetric behaviour. Inspired by homological mirror symmetry, we use this machinery to transport generalized complex branes between these T-dual pairs (AU) | |
| FAPESP's process: | 15/10937-5 - Generalized complex geometry on homogeneous spaces, T-duality and applications to mirror symmetry |
| Grantee: | Leonardo Soriani Alves |
| Support Opportunities: | Scholarships in Brazil - Doctorate |