Spin-structures and 2-fold coverings

Spin-structures and 2-fold coverings

We prove that the existence of a Spin-structure on an oriented realvector bundle and the number of them can be obtained in terms of 2-fold coverings of the total space of the SO(n)-principal bundle associated to the vector bundle. Basically we use theory of covering spaces. We give a few elementary...

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Bibliographic Details
Main Authors: Maria Hermínia de Paula Leite Mello, Claude Hayat, Daciberg L. Gon»calves
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2005-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Buldles
principal bundles
orientable bundles
spin-structure
fundamental group
Stiefel-Whithney classes.
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7451/4286

Internet

http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7451/4286

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