O. Randal-Williams

activity

20102026

most citedThe stable cohomology of automorphisms of free groups with coefficients in the homology representation

8 citations · 25 across the 18 of their papers we have counts for

collaborators

Showing 2022 · math.ATShow all

5 papers · 2 filters

math.AT2022★ 3 cited

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 $d \geq 4$ .

math.AT2022★ 1 cited

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…

math.AT2022★ 4 cited

The family signature theorem

Oscar Randal-Williams

We discuss several versions of the Family Signature Theorem: in rational cohomology using ideas of Meyer, in $K O [\frac{1}{2}]$ -theory using ideas of Sullivan, and finally in symme…

math.AT2022

Stable cohomology of congruence subgroups

Oscar Randal-Williams

We describe the $F_{p}$ -cohomology of the congruence subgroups $S L_{n} (Z, p^{m})$ in degrees $* < p - 1$ , for all large enough $n$ , establishing a formula proposed by F.…

math.AT2022

Diffeomorphisms of discs

Oscar Randal-Williams

I describe what is currently known, for $d \geq 5$ , about the rational homotopy type of the group of diffeomorphisms of the $d$ -disc relative to its boundary, and the closely relat…