18 citations · 135 across the 39 of their papers we have counts for
4 papers · 1 filter
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…
Scissors automorphism groups I: Homological stability and K-theory
Alexander Kupers, Ezekiel Lemann, Cary Malkiewich +2
In any category with a reasonable notion of cover, each object has a group of scissors automorphisms. We prove that under mild conditions, the homology of this group is independent…
The bounded cohomology of transformation groups of Euclidean spaces and discs
Francesco Fournier-Facio, Nicolas Monod, Sam Nariman +1
We prove that the groups of orientation-preserving homeomorphisms and diffeomorphisms of are boundedly acyclic, in all regularities. This is the first full computati…
A note on homotopy and pseudoisotopy of diffeomorphisms of -manifolds
Manuel Krannich, Alexander Kupers
This note serves to record examples of diffeomorphisms of closed smooth -manifolds that are homotopic but not pseudoisotopic to the identity, and to explain why there are no…