Søren Galatius

collaborators

3 papers

math.AT2025

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

Soren Galatius, Alexander Kupers, Oscar Randal-Williams

We prove new homological stability results for general linear groups over finite fields. These results are obtained by constructing CW approximations to the classifying spaces of t…

math.AT2025

$E_{\infty}$ -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…

math.GT2024

The Alexander trick for homology spheres

Soren Galatius, Oscar Randal-Williams

We show that the group of homeomorphisms of a compact contractible $d$ -manifold which fix the boundary is contractible, as long as $d \geq 6$ . We deduce this from a strong uniquene…

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

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

The Alexander trick for homology spheres

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

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