activity
20042023
most citedHomological stability for moduli spaces of high dimensional manifolds. I

95 citations · 393 across the 27 of their papers we have counts for

collaborators

29 papers

math.GT2023

The Alexander trick for homology spheres

Soren Galatius, Oscar Randal-Williams

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

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 .

math.KT2020★ 2 cited

The Galois action on symplectic -theory

Tony Feng, Soren Galatius, Akshay Venkatesh

We study a symplectic variant of algebraic -theory of the integers, which comes equipped with a canonical action of the absolute Galois group of . We compute this ac…

math.AT2020

-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 -algebras. We pr…

math.AT2019

Operations on stable moduli spaces

Soren Galatius, Oscar Randal-Williams

We construct certain operations on stable moduli spaces and use them to compare cohomology of moduli spaces of closed manifolds with tangential structure. We obtain isomorphisms in…

math.AG2019★ 9 cited

The -equivariant top weight Euler characteristic of

Melody Chan, Carel Faber, Soren Galatius +1

We prove a formula, conjectured by Zagier, for the -equivariant Euler characteristic of the top weight cohomology of .