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Some homotopy coherent finite group actions on spheres
Manuel Krannich, Oscar Randal-Williams
We provide some examples of homotopy coherent smooth finite group actions on spheres which do not arise from strict actions.
Diffeomorphisms of discs and the second Weiss derivative of BTop(-)
Manuel Krannich, Oscar Randal-Williams
We compute the rational homotopy groups in degrees up to approximately d of the group of diffeomorphisms of a closed d-dimensional disc fixing the boundary. Based on…
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…