8 citations · 25 across the 18 of their papers we have counts for
6 papers · 1 filter
Generalized symmetries of topological field theories
Ben Gripaios, Oscar Randal-Williams, Joseph Tooby-Smith
We study generalized symmetries in a simplified arena in which the usual quantum field theories of physics are replaced with topological field theories and the smooth structure wit…
Algebraic independence of topological Pontryagin classes
Soren Galatius, Oscar Randal-Williams
We show that the topological Pontryagin classes are algebraically independent in the rationalised cohomology of BTop(d) for all .
Classical homological stability from the point of view of cells
Oscar Randal-Williams
We explain how to interpret the complexes arising in the "classical" homology stability argument (e.g. in the framework of Randal-Williams--Wahl) in terms of higher algebra, which…
The family signature theorem
Oscar Randal-Williams
We discuss several versions of the Family Signature Theorem: in rational cohomology using ideas of Meyer, in -theory using ideas of Sullivan, and finally in symme…
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.…
Diffeomorphisms of discs
Oscar Randal-Williams
I describe what is currently known, for , about the rational homotopy type of the group of diffeomorphisms of the -disc relative to its boundary, and the closely relat…