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Master's Dissertation
DOI
10.11606/D.55.2008.tde-02042008-144834
Document
Author
Full name
Giuliano Angelo Zugliani
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2008
Supervisor
Committee
Ruas, Maria Aparecida Soares (President)
Levcovitz, Daniel
Pergher, Pedro Luiz Queiroz
Title in Portuguese
Fórmulas de Poincaré-Hopf e classes características de variedades singulares
Keywords in Portuguese
Classes características
Classes de Chern
Obstrução de Euler
Teorema de Poincaré-Hopf
Variedades singulares
Abstract in Portuguese
Neste trabalho, estudamos diferentes construções e propriedades das classes características de variedades suaves e singulares. Para ilustrar a teoria, calculamos a obstrução de Euler de algumas superfícies singulares no espaço tridimensional e apresentamos uma fórmula do tipo Poincaré-Hopf para variedades singulares
Title in English
Poincaré-Hopf´s formulas and characteristic classes of singular manifolds
Keywords in English
Characteristic classes
Chern classes
Euler obstruction
Poincaré-Hopf´s theorem
Singular manifolds
Abstract in English
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
 
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Publishing Date
2008-04-02
 
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