95 citations · 393 across the 27 of their papers we have counts for
5 papers · 1 filter
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…
-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…
The Equivariant Cobordism Category
Gergely Szűcs, Søren Galatius
For a finite group , we define an equivariant cobordism category . Objects of the category are -dimensional closed smooth -manifolds and morphisms are…
Tropical curves, graph complexes, and top weight cohomology of M_g
Melody Chan, Soren Galatius, Sam Payne
We study the topology of a space parametrizing stable tropical curves of genus g with volume 1, showing that its reduced rational homology is canonically identified with both the t…
-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…