95 citations · 606 across the 55 of their papers we have counts for
5 papers · 1 filter
Operations on stable moduli spaces
Soren Galatius, Oscar Randal-Williams
We construct certain operations on stable moduli spaces and use them to compare cohomology of moduli spaces of closed manifolds with tangential structure. We obtain isomorphisms in…
The cohomology of Torelli groups is algebraic
Alexander Kupers, Oscar Randal-Williams
The Torelli group of is the subgroup of the diffeomorphisms of fixing a disc which act trivially on . The rational cohomology groups o…
Homology of Hurwitz spaces and the Cohen--Lenstra heuristic for function fields (after Ellenberg, Venkatesh, and Westerland)
Oscar Randal-Williams
Ellenberg, Venkatesh, and Westerland have established a weak form of the function field analogue of the Cohen--Lenstra heuristic, on the distribution of imaginary number fields wit…
The positive scalar curvature cobordism category
Johannes Ebert, Oscar Randal-Williams
We prove that many spaces of positive scalar curvature metrics have the homotopy type of infinite loop spaces. Our result in particular applies to the path component of the round m…
On the cohomology of Torelli groups
Alexander Kupers, Oscar Randal-Williams
We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds relative to a disc in a stable range, for $2n \geq…