Smooth toral actions on principal bundles and characteristic classes.

M.ª Nieves Alamo Antúnez; Francisco Gómez Ruiz

Extracta Mathematicae (1987)

  • Volume: 2, Issue: 3, page 108-110
  • ISSN: 0213-8743

Abstract

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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.

How to cite

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Alamo Antúnez, M.ª Nieves, and Gómez Ruiz, Francisco. "Smooth toral actions on principal bundles and characteristic classes.." Extracta Mathematicae 2.3 (1987): 108-110. <http://eudml.org/doc/38273>.

@article{AlamoAntúnez1987,
abstract = {The purpose of our work is to find explicit formulae for the computation of some characteristic classes of smooth principal bundles P: P --&gt; 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.},
author = {Alamo Antúnez, M.ª Nieves, Gómez Ruiz, Francisco},
journal = {Extracta Mathematicae},
keywords = {Teoría algebraica de números; Clases características},
language = {eng},
number = {3},
pages = {108-110},
title = {Smooth toral actions on principal bundles and characteristic classes.},
url = {http://eudml.org/doc/38273},
volume = {2},
year = {1987},
}

TY - JOUR
AU - Alamo Antúnez, M.ª Nieves
AU - Gómez Ruiz, Francisco
TI - Smooth toral actions on principal bundles and characteristic classes.
JO - Extracta Mathematicae
PY - 1987
VL - 2
IS - 3
SP - 108
EP - 110
AB - The purpose of our work is to find explicit formulae for the computation of some characteristic classes of smooth principal bundles P: P --&gt; 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.
LA - eng
KW - Teoría algebraica de números; Clases características
UR - http://eudml.org/doc/38273
ER -

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