8 citations · 8 across the 8 of their papers we have counts for
15 papers · 1 filter
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-…
Even Temperley-Lieb algebras and the dga of planar loops
Rachael Boyd, Guy Boyde, Oscar Randal-Williams +1
We show that the homology of a Temperley-Lieb algebra on an even number of strands has a rich algebraic structure and is highly nontrivial in general. This is achieved by proving t…
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…
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…
Monodromy and mapping class groups of 3-dimensional hypersurfaces
Oscar Randal-Williams
We describe the subgroup of the mapping class group of a hypersurface in consisting of those diffeomorphisms which can be realised by monodromy.
Configuration spaces as commutative monoids
Oscar Randal-Williams
After 1-point compactification, the collection of all unordered configuration spaces of a manifold admits a commutative multiplication by superposition of configurations. We explai…