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math.AT2025
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…
math.AT2025
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…
math.GT2025
Smoothing topological pseudo-isotopies of 4-manifolds
Patrick Orson, Mark Powell, Oscar Randal-Williams
Given a closed, smooth 4-manifold and self-diffeomorphism that is topologically pseudo-isotopic to the identity, we study the question of whether is moreover smoothly p…