20 citations · 76 across the 21 of their papers we have counts for
5 papers · 1 filter
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…
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
Manuel Krannich, Oscar Randal-Williams
It is well known that Sullivan showed that the mapping class group of a simply connected high-dimensional manifold is commensurable with an arithmetic group, but the meaning of "co…
On Torelli groups and Dehn twists of smooth 4-manifolds
Manuel Krannich, Alexander Kupers
This note has two related but independent parts. Firstly, we prove a generalisation of a recent result of Gay on the smooth mapping class group of . Secondly, we give an alter…
Finiteness properties of automorphism spaces of manifolds with finite fundamental group
Mauricio Bustamante, Manuel Krannich, Alexander Kupers
Given a closed smooth manifold of even dimension with finite fundamental group, we show that the classifying space of the diffeomorphism group of …
Embedding calculus for surfaces
Manuel Krannich, Alexander Kupers
We prove convergence of Goodwillie-Weiss' embedding calculus for spaces of embeddings into a manifold of dimension at most two, so in particular for diffeomorphisms between surface…