O. Randal-Williams

activity

20072026

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

95 citations · 606 across the 55 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AT2018

Moduli spaces of manifolds: a user's guide

Soren Galatius, Oscar Randal-Williams

We survey recent work on moduli spaces of manifolds with an emphasis on the role played by (stable and unstable) homotopy theory. The theory is illustrated with several worked exam…

math.AT2018

$E_{\infty}$ -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.AT2018

$E_{2}$ -cells and mapping class groups

Soren Galatius, Alexander Kupers, Oscar Randal-Williams

We prove a new kind of stabilisation result, "secondary homological stability", for the homology of mapping class groups of orientable surfaces with one boundary component. These r…

Moduli spaces of manifolds: a user's guide

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

E2​-cells and mapping class groups

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

$E_{2}$ -cells and mapping class groups