18 citations · 135 across the 39 of their papers we have counts for
5 papers · 1 filter
Improved homological stability for certain general linear groups
Alexander Kupers, Jeremy Miller, Peter Patzt
We prove that the general linear groups of the integers, Gaussian integers, and Eisenstein integers satisfy homological stability of slope 1 when using -coefficien…
On the Torelli Lie algebra
Alexander Kupers, Oscar Randal-Williams
We prove two theorems about the Malcev Lie algebra associated to the Torelli group of a surface of genus : stably, it is Koszul and the kernel of the Johnson homomorphism consis…
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…