Smooth toral actions on principal bundles and characteristic classes

• Autores: Nieves Álamo Antúnez, Francisco Gómez Ruiz
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 2, Nº 3, 1987, págs. 108-110
• Idioma: inglés
• Títulos paralelos:
  • Acciones torales alisadas sobre haces principales y clases características
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• Resumen

  • The purpose of our work is to find explicit formulae for the computation of some characteristic classes of smooth principal bundles P: P --> B, in terms of local invariants at a singular subset AG of B, associated to a smooth action of a compact Lie group G on P. This singular subset, AG, is defined as the set of points x in B whose isotropy subgroups Gx have dimension at least one.