Homological stability for moduli spaces of high dimensional manifolds

Details Homological stability for moduli spaces of high dimensional manifolds Homological stability for moduli spaces of high dimensional manifolds

2012-03-30

arxiv.org/abs/1203.6830v1

Mathematics

Algebraic Topology

17 pages

Scientific paper

We prove a homological stability theorem for the moduli spaces of manifolds
diffeomorphic to g(S^n x S^n), provided n > 2. This generalises Harer's
stability theorem for the homology of mapping class groups. Combined with
previous work of the authors, it gives a calculation of the homology of these
moduli spaces in a range of degrees.

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