The real semi-characteristic of a homogeneous space
نویسندگان
چکیده
منابع مشابه
Characteristic Numbers of a Homogeneous Space
Let G be a compact connected Lie group with maximal torus T , and H a closed subgroup containing T . We work out the Atiyah-Bott-Berline-Vergne localization formula for the homogeneous space G/H under the natural action of the maximal torus T . The computation gives explicit formulas for the ordinary and equivariant characteristic numbers of a homogeneous space. Let G be a compact connected Lie...
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Let G be a compact connected Lie group with maximal torus T , and H a closed subgroup containing T . We compute the equivariant cohomology ring and the equivariant characteristic numbers of the homogeneous space G/H under the natural action of the maximal torus T . The computation is based on the localization theorems of Borel and of Atiyah-Bott-Berline-Vergne. Let G be a compact connected Lie ...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1981
ISSN: 0019-2082
DOI: 10.1215/ijm/1256047049