Homological stability of diffeomorphism groups
Algebraic Topology
2012-09-05 v2 Geometric Topology
Abstract
In this paper we prove a stability theorem for block diffeomorphisms of 2d-dimensional manifolds that are connected sums of S^d x S^d. Combining this with a recent theorem of S. Galatius and O. Randal-Williams and Morlet's lemma of disjunction, we determine the homology of the classifying space of their diffeomorphism groups relative to an embedded disk in a stable range.
Cite
@article{arxiv.1203.4161,
title = {Homological stability of diffeomorphism groups},
author = {Alexander Berglund and Ib Madsen},
journal= {arXiv preprint arXiv:1203.4161},
year = {2012}
}
Comments
31 pages; minor corrections; added references