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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2019.tde-03122019-114350
Document
Author
Full name
Edson de Oliveira
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1978
Supervisor
Committee
Daccach, Janey Antonio (President)
Conde, Antonio
Loibel, Gilberto Francisco
Title in Portuguese
TEOREMA DE ROHLIN: GENERALIZAÇÃO E APLICAÇÕES
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Não disponível
Title in English
Theorem of Rohlin: Generalization and Applications
Keywords in English
Not available
Abstract in English
The object of this work is to prove the following Theorem of Rohlin: "Let M" be a compact oriented differentiable 4-manifold with Stiefel-Whitney class w2 equal to zero. Then the signature I(M4) is congruent to zero modulo 16", and also, the Theorem of Kervaire and Milnor: "Let M* be a compact oriented differentiable 4-manifold. Let ξ ε H2 (M,Z) be dual to the Stiefel-Whitney classe w2(M). If ξ is represented by a differentiably imbedded 2-sphere in M then, the self-intersection number ξ.ξ must be congruent to I(M) modulo 16". Applications and examples is show in the last chapter of this work.
 
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Publishing Date
2019-12-03
 
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