135 citations · 485 across the 22 of their papers we have counts for
8 papers · 1 filter
Disordered arcs and Harer stability
Oscar Harr, Max Vistrup, Nathalie Wahl
We give a new proof of homological stability with the best known isomorphism range for mapping class groups of surfaces with respect to genus. The proof uses the framework of Randa…
Homological stability for mapping class groups of surfaces
Nathalie Wahl
We give a complete and detailed proof of Harer's stability theorem for the homology of mapping class groups of surfaces, with the best stability range presently known. This theorem…
Stabilization for mapping class groups of 3-manifolds
Allen Hatcher, Nathalie Wahl
We prove that the homology of the mapping class group of any 3-manifold stabilizes under connected sum and boundary connected sum with an arbitrary 3-manifold when both manifolds a…
Erratum to ``Stabilization for the automorphisms of free groups with boundaries''
Allen Hatcher, Nathalie Wahl
The purpose of this note is to point to a gap in an argument in our paper "Stabilization for the automorphisms of free groups with boundaries", and explain how to fill it.
Homological stability for the mapping class groups of non-orientable surfaces
Nathalie Wahl
We prove that the homology of the mapping class groups of non-orientable surfaces stabilizes with the genus of the surface. Combining our result with recent work of Madsen and Weis…
Homology stability for outer automorphism groups of free groups
Allen Hatcher, Karen Vogtmann
We prove that the quotient map from Aut(F_n) to Out(F_n) induces an isomorphism on homology in dimension i for n at least 2i+4. This corrects an earlier proof by the first author a…