2 citations · 2 across the 1 of their papers we have counts for
11 papers
Uniform twisted homological stability
Jeremy Miller, Peter Patzt, Dan Petersen +1
We prove a homological stability theorem for families of discrete groups (e.g. mapping class groups, automorphism groups of free groups, braid groups) with coefficients in a sequen…
Diffeomorphisms of discs and the second Weiss derivative of BTop(-)
Manuel Krannich, Oscar Randal-Williams
We compute the rational homotopy groups in degrees up to approximately d of the group of diffeomorphisms of a closed d-dimensional disc fixing the boundary. Based on…
Stable cohomology of congruence subgroups
Oscar Randal-Williams
We describe the -cohomology of the congruence subgroups in degrees , for all large enough , establishing a formula proposed by F.…
A chromatic approach to homological stability
Oscar Randal-Williams
We propose a way to organise the subject of ``higher-order homological stability'', in the context of a graded -algebra , along the same lines that the chromatic p…
TQFTs do not detect the Milnor sphere
Ben Gripaios, Oscar Randal-Williams
We show that, under very general hypotheses, topological quantum field theories (TQFTs) cannot detect homotopy spheres bounding parallelisable manifolds, such as Milnor's exotic 7-…
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…