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 2020 · math.ATShow all

6 papers · 2 filters

math.AT2020

On automorphisms of high-dimensional solid tori

Mauricio Bustamante, Oscar Randal-Williams

We study the infinite generation in the homotopy groups of the group of diffeomorphisms of $S^{1} \times D^{2 n - 1}$ , for $2 n \geq 6$ , in a range of degrees up to $n - 2$ . Our analysis r…

math.AT2020

An $H P^{2}$ -bundle over $S^{4}$ with nontrivial $A^$ -genus

Manuel Krannich, Alexander Kupers, Oscar Randal-Williams

We explain the existence of a smooth $H P^{2}$ -bundle over $S^{4}$ whose total space has nontrivial $A^$ -genus. Combined with an argument going back to Hitchin, this answers a ques…

math.AT2020

On diffeomorphisms of even-dimensional discs

Alexander Kupers, Oscar Randal-Williams

We determine $π_{*} (B D i f f_{\partial} (D^{2 n})) \otimes Q$ for $2 n \geq 6$ completely in degrees $* \leq 4 n - 10$ , far beyond the pseudoisotopy stable range. Furthermore, above th…

math.AT2020

Framings of $W_{g, 1}$

Alexander Kupers, Oscar Randal-Williams

We compute the set of framings of $W_{g, 1} = D^{2 n} # (S^{n} \times S^{n})^{# g}$ , up to homotopy and diffeomorphism relative to the boundary.

math.AT2020

Tautological rings and stabilisation

Oscar Randal-Williams

We construct a ring homomorphism comparing the tautological ring, fixing a point, of a closed smooth manifold with that of its stabilisation by $S^{2 a} \times S^{2 b}$ .

math.AT2020

$E_{\infty}$ -cells and general linear groups of infinite fields

Soren Galatius, Alexander Kupers, Oscar Randal-Williams

We study the general linear groups of infinite fields (or more generally connected semi-local rings with infinite residue fields) from the perspective of $E_{\infty}$ -algebras. We pr…

On automorphisms of high-dimensional solid tori

An HP2-bundle over S4 with nontrivial A^-genus

On diffeomorphisms of even-dimensional discs

Framings of Wg,1​

Tautological rings and stabilisation

E∞​-cells and general linear groups of infinite fields

An $H P^{2}$ -bundle over $S^{4}$ with nontrivial $A^$ -genus

Framings of $W_{g, 1}$

$E_{\infty}$ -cells and general linear groups of infinite fields