Homological stability for moduli spaces of high dimensional manifolds
By Søren Galatius, O. Randal-Williams. 2012
139 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e6002a47927e0f39a525df831c3466345acc50da
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In Geometry and Topology
- O. Randal-Williams
- Nathalie Wahl
- Michael Weiss
- Pedro Boavida de Brito
- Søren Galatius
- Andrew Putman
- Steven V. Sam
- Johannes Ebert
In Mathematical Physics
- O. Randal-Williams
- Nathalie Wahl
- Michael Weiss
- Søren Galatius
- Pedro Boavida de Brito
- Andrew Putman
- Steven V. Sam
- Johannes Ebert
Citations in the corpus
- Homological stability for automorphism groups (2014, methodology): “2 of [36] shows that Wn(A,H)• is (n−4 2 )-connected for any quadratic module A.”