Søren Galatius

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

Showing 2018 · math.ATShow all

4 papers · 2 filters

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★ 3 cited

The Equivariant Cobordism Category

Gergely Szűcs, Søren Galatius

For a finite group $G$ , we define an equivariant cobordism category $C_{d}^{G}$ . Objects of the category are $(d - 1)$ -dimensional closed smooth $G$ -manifolds and morphisms are…

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

The Equivariant Cobordism Category

E2​-cells and mapping class groups

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

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