1 citations · 1 across the 1 of their papers we have counts for
8 papers
Framed configuration spaces and exotic spheres
Manuel Krannich, Alexander Kupers, Fadi Mezher
We determine when an exotic sphere of dimension can be detected through the homotopy type of its truncated Disc-presheaf. The latter records the diagram o…
Infinity-operadic foundations for embedding calculus
Manuel Krannich, Alexander Kupers
Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of -categories of truncated right-modules over a unital -opera…
Two remarks on spaces of maps between operads of little cubes
Geoffroy Horel, Manuel Krannich, Alexander Kupers
We record two facts on spaces of derived maps between the operads of little -cubes. Firstly, these mapping spaces are equivalent to the mapping spaces between the non-unit…
Pontryagin-Weiss classes and a rational decomposition of spaces of homeomorphisms
Manuel Krannich, Alexander Kupers
We construct a rational homotopy pullback decomposition for variants of the classifying space of the group of homeomorphisms for a large class of manifolds. This has various applic…
-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…
-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…