The rational stable homology of mapping class groups of universal nil-manifolds
Journal article, Peer reviewed
Published version
Åpne
Permanent lenke
http://hdl.handle.net/11250/2609215Utgivelsesdato
2018Metadata
Vis full innførselSamlinger
- Institutt for matematiske fag [2350]
- Publikasjoner fra CRIStin - NTNU [37175]
Originalversjon
10.5802/aif.3258Sammendrag
We compute the rational stable homology of the automorphism groups of free nilpotent groups. These groups interpolate between the general linear groups over the ring of integers and the automorphism groups of free groups, and we employ functor homology to reduce to the abelian case. As an application, we also compute the rational stable homology of the outer automorphism groups and of the mapping class groups of the associated aspherical nil-manifolds in the TOP, PL, and DIFF categories.