Automorphisms and embeddings of manifolds (C01)

本文主要研究流形的光滑拓扑自同构空间及其分类空间和流形的光滑拓扑嵌入空间的同伦性质。流形丛的已知特征类将发挥重要作用。可以想象，新的核电站将会被建造。自同构和嵌入在流形的有限子集上的作用，更准确地说，在流形的配置范畴上，将被利用。

This project concerns the homotopical properties of spaces of smooth and topological automorphisms of manifolds, their classifying spaces and spaces of smooth and topological embeddings of manifolds. Known characteristic classes for manifold bundles will play an important role. It is conceivable that new ones will be constructed. The action of automorphisms and embeddings on finite subsets of manifolds, more precisely on the configuration category of a manifold, will be exploited.