将映射光滑化为代数集和平坦连接空间
代数拓扑
2014-10-14 v4 代数几何
微分几何
K理论与同调
摘要
设X是R^n的实代数子集，M是光滑闭流形。我们证明所有从M到X的连续映射都同伦（在X中）于C^∞映射。我们将此结果应用于研究与复群表示连续族相关的向量丛的特征类，并建立了非球面流形上平坦连接空间的同伦群秩的下界。
引用
@article{arxiv.1206.3341,
title = {Smoothing maps into algebraic sets and spaces of flat connections},
author = {Thomas Baird and Daniel A. Ramras},
journal= {arXiv preprint arXiv:1206.3341},
year = {2014}
}
备注
15 pages. To appear in Geometriae Dedicata. Changes in v4: Removed material on the topological Atiyah-Segal map, which will appear in a separate article. Various other small changes to the exposition