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Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.2014.tde-12082014-153507
Document
Author
Full name
Norbil Leodan Cordova Neyra
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2014
Supervisor
Committee
Mattos, Denise de (President)
Goncalves, Daciberg Lima
Monis, Thais Fernanda Mendes
Onnis, Irene Ignazia
Pergher, Pedro Luiz Queiroz
Title in Portuguese
Grau de aplicações G-equivariantes entre variedades generalizadas
Keywords in Portuguese
Aplicações equivariantes
Cohomologia de feixes
Homologia de Borel-Moore
Teoria do grau
Variedades generalizadas
Abstract in Portuguese
Neste trabalho estenderemos os resultados obtidos por Hara [34] e J. Jaworowski [38] substituindo as G-variedades por G-variedades generalizadas sobre Z. Além disso, provamos uma fórmula de comparação geral para grau de aplicações de uma variedade generalizada sobre uma esfera que são equivariantes com respeito a ações de grupos finitos, obtendo uma generalização do resultado de A. Kushkuley e Z. Balanov [40]
Title in English
Degree of G-equivariant maps between generalized manifolds
Keywords in English
Borel-Moore homology
Degree theory
Equivariant maps
Generalized manifolds
Sheaf cohomology
Abstract in English
In this work, we extend the results obtained by Y. Hara [34] and J. Jaworowski [38] by replacing the free G-manifolds by free generalized G-manifolds over Z. Moreover, we prove a general comparison formula for degrees of equivariant maps from a generalized manifold to a sphere which are equivariant with respect to finite group actions, obtaining a generalization of the result of A. Kushkuley and Z. Balanov [40]
 
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TeseNorbil_revisada.pdf (1,013.32 Kbytes)
Publishing Date
2014-08-12
 
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