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math.AT2021
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…
math.AT2021★ 1 cited
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 …
math.AT2021★ 3 cited
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…