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Paper detail

Homological stability of diffeomorphism groups

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.

preprint2012arXivOpen access
Alexander BerglundIb Madsen
math.ATmath.GT
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Alexander BerglundIb Madsen

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