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# Stabilization for Mapping Class Groups of 3-manifolds

@inproceedings{Wahl2007StabilizationFM, title={Stabilization for Mapping Class Groups of 3-manifolds}, author={Nathalie Westerland Wahl}, year={2007} }

- Published 2007

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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