Stabilization for Mapping Class Groups of 3-manifolds

  title={Stabilization for Mapping Class Groups of 3-manifolds},
  author={Nathalie Westerland Wahl},
We prove that the homology of the mapping class group of any 3manifold stabilizes under connected sum and boundary connected sum with an arbitrary 3-manifold when both manifolds are compact and orientable. The stabilization also holds for the quotient group by twists along spheres and disks, and includes as particular cases homological stability for symmetric automorphisms of free groups, automorphisms of certain free products, and handlebody mapping class groups. Our methods also apply to… CONTINUE READING
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Stability of the homology of the mapping class groups of orientable surfaces

  • J L Harer
  • Ann. of Math. (2) 121
  • 1985
Highly Influential
6 Excerpts

Topologie de la dimension trois: homotopie et isotopie

  • F Laudenbach
  • Astérisque 12
  • 1974
Highly Influential
5 Excerpts

Decomposition theorem for homology groups of symmetric groups

  • M Nakaoka
  • Ann. of Math. (2) 71
  • 1960
Highly Influential
3 Excerpts

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