Homological stability for mapping class groups of surfaces
By Nathalie Wahl. 2010
73 citations recorded by the source corpus.
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 and its proof have seen several improvements since Harer's original proof in the mid-80's, and our purpose here is to assemble these many additions.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/82c14b8f9696b0a4dcfb9a109b34e78357ce9aa3
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In Geometry and Topology
- Pedro Boavida de Brito
- Michael Weiss
- Søren Galatius
- O. Randal-Williams
- Nathalie Wahl
- Shigeyuki Morita
In Mathematical Physics
- Pedro Boavida de Brito
- Michael Weiss
- Søren Galatius
- O. Randal-Williams
- Nathalie Wahl
- Shigeyuki Morita
Citations in the corpus
- Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields (2009, unknown): “This is a difference from the setting of [48], and means that we can ignore the case of a “nonempty union of intervals” mentioned at the bottom of page 552, loc.”
- Hochschild homology of structured algebras (2011, unknown): “The fact that it is an isomorphism in homology in the given range follows from the stability theorem of [3, 53] (and [62] for a version with punctures).”
- Spaces of smooth embeddings and configuration categories (2015, methodology): “This is inspired by some observations on configuration spaces due to Oscar Randal-Williams [30] which we learned by reading [37].”