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Cellular decompositions of homogeneous spaces
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| Author(s): |
Jordan Lambert Silva
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2013-02-05 |
| Examining board members: |
Luiz Antonio Barrera San Martin;
Elizabeth Terezinha Gasparim;
Daniel Victor Tausk
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| Advisor: | Lonardo Rabelo; Luiz Antonio Barrera San Martin |
| Abstract | |
In this dissertation, we conduct a topological study of real flag manifolds. Found the Schubert cell decomposition of a flag manifold, we present two topological invariants for these manifolds: the homology, obtained from the calculation of the boundary operator of cellular homology, and the Euler characteristic, which was determinate for maximal flag manifolds and for symplectic grassmannians manifolds Lp(R2l) (AU) | |
| FAPESP's process: | 10/12755-8 - Cellular decompositions of homogeneous spaces |
| Grantee: | Jordan Lambert Silva |
| Support Opportunities: | Scholarships in Brazil - Master |