95 citations · 606 across the 55 of their papers we have counts for
4 papers · 1 filter
Infinite loop spaces and positive scalar curvature
Boris Botvinnik, Johannes Ebert, Oscar Randal-Williams
We study the homotopy type of the space of metrics of positive scalar curvature on high-dimensional compact spin manifolds. Hitchin used the fact that there are no harmonic spinors…
Homological stability for automorphism groups
Nathalie Wahl, Oscar Randal-Williams
Given a family of groups admitting a braided monoidal structure (satisfying mild assumptions) we construct a family of spaces on which the groups act and whose connectivity yields,…
Abelian quotients of mapping class groups of highly connected manifolds
Soren Galatius, Oscar Randal-Williams
We compute the abelianisations of the mapping class groups of the manifolds for and . The answer is a direct sum of two parts. T…
Homological stability for moduli spaces of high dimensional manifolds. I
Soren Galatius, Oscar Randal-Williams
We prove a homological stability theorem for moduli spaces of simply-connected manifolds of dimension , with respect to forming connected sum with . This is…