Computing characteristic numbers using fixed points
代数几何
2013-05-21 v4 代数拓扑
摘要
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.
引用
@article{arxiv.math/0102013,
title = {Computing characteristic numbers using fixed points},
author = {Loring W. Tu},
journal= {arXiv preprint arXiv:math/0102013},
year = {2013}
}
备注
23 pages, AMS-LaTeX. This version contains more background material, such as a derivation of the ordinary and equivariant cohomology of G/T and G/H. It updates the published version in switching Sections 6 and 7