A study of vector fields indexes: from topology to the geometry
Poincaré-Hopf type theorems for vector fields and 1-forms on singular varieties
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Poincaré-Hopf´s formulas and characteristic classes of singular manifolds
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| Author(s): |
Giuliano Angelo Zugliani
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2008-02-08 |
| Examining board members: |
Maria Aparecida Soares Ruas;
Daniel Levcovitz;
Pedro Luiz Queiroz Pergher
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| Advisor: | Maria Aparecida Soares Ruas |
| Abstract | |
In this work, we study different constructions and properties of the characteristics classes of smooth and singular manifolds. To ilustrate the theory, we compute the Euler obstructions of some singular surfaces in tridimensional space and state a Poincaré-Hopf´s formula for singular varieties (AU) | |