Smoothing maps into algebraic sets and spaces of flat connections
Smoothing maps into algebraic sets and spaces of flat connections
复制标题
将映射平滑为代数集和平面连接空间
DOI：
10.1007/s10711-014-0022-z
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发表时间：
2012
影响因子：
0.5
通讯作者：
D. Ramras
中科院分区：
文献类型：
--
作者：
T. Baird;D. Ramras
设是一个真实的代数集和一个光滑的闭流形。我们证明了所有连续映射都是同伦的。我们应用这一结果来研究特征类的向量丛连续家庭的复杂的群体表示，我们建立了下界的秩的同伦群的空间平坦的连接在非球面流形。
Letbe a real algebraic set anda smooth, closed manifold. We show that all continuous mapsare homotopic (in) tomaps. We apply this result to study characteristic classes of vector bundles associated to continuous families of complex group representations, and we establish lower bounds on the ranks of the homotopy groups of spaces of flat connections over aspherical manifolds.