Homological stability of diffeomorphism groups

Details Homological stability of diffeomorphism groups Homological stability of diffeomorphism groups

2012-03-19

arxiv.org/abs/1203.4161v1

Mathematics

Algebraic Topology

30 pages

Scientific paper

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.

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