A. Kupers

activity

20112026

most citedSome finiteness results for groups of automorphisms of manifolds

18 citations · 135 across the 39 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

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★ 1 cited

The homotopy type of the topological cobordism category

Mauricio Gomez Lopez, Alexander Kupers

We define a cobordism category of topological manifolds and prove that if $d \neq = 4$ its classifying space is weakly equivalent to $Ω^{\infty - 1} M T T o p (d)$ , where $M T T o p (d)$ is the…

math.AT2018★ 1 cited

The May-Milgram filtration and $E_{k}$ -cells

Inbar Klang, Alexander Kupers, Jeremy Miller

We describe an $E_{k}$ -cell structure on the free $E_{k + 1}$ -algebra on a point, and more generally describe how the May-Milgram filtration of $Ω^{m} Σ^{m} S^{k}$ lifts to a filtration of…

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…

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

The homotopy type of the topological cobordism category

The May-Milgram filtration and Ek​-cells

E2​-cells and mapping class groups

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

The May-Milgram filtration and $E_{k}$ -cells

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