Homology stability for symmetric diffeomorphism and mapping class groups

For any smooth compact manifold W with boundary of dimension of at least two we prove that the classifying spaces of its group of diffeomorphisms which fix a set of k points or k embedded disks (up to permutation) satisfy homology stability. The same is true for so-called symmetric diffeomorphisms o...

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Bibliographic Details
Main Author: Tillmann, U
Format: Journal article
Published: Cambridge University Press 2015