Automorphisms and embeddings of manifolds (C01)

本课题研究流形的光滑自同构和拓扑自同构空间、流形的分类空间以及流形的光滑自同构和拓扑嵌入空间的同调性质。已知的流形束特征类将发挥重要作用。可以想象，将会建造新的。自同构和嵌入在流形的有限子集上的作用，更准确地说是流形的构形范畴上的作用，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.