Homological stability for moduli spaces of high dimensional manifolds

@article{Galatius2012HomologicalSF,
  title={Homological stability for moduli spaces of high dimensional manifolds},
  author={S{\o}ren Galatius and O. Randal-Williams},
  journal={arXiv: Algebraic Topology},
  year={2012}
}
  • Søren Galatius, O. Randal-Williams
  • Published 2012
  • Mathematics
  • arXiv: Algebraic Topology
  • 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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