On the homotopy type of \(Diff(\Sigma ^ n)\)
type: Item
instance of: scholarly article
title: On the homotopy type of \(Diff(\Sigma ^ n)\)
zbMATH Open document ID: 0602.57022
author: Nathan Habegger
author: Robert H. Szczarba
published in: Illinois Journal of Mathematics
publication date: 1987-01-01T00:00:00Z
review text: In this note it is shown that, for each prime p there is an exotic sphere \(\Sigma ^ n\) with \[ \pi _ i(Diff(\Sigma ^ n)) \otimes {\mathbb{Z}}[1/p]\simeq \pi _ i(Diff(S^ n)) \otimes {\mathbb{Z}}[1/p] \] for all i but with \(\pi _ j(Diff(\Sigma ^ n))\not\simeq \pi _ j(Diff(S^ n))\) for some j.
Mathematics Subject Classification ID: 57R50
Mathematics Subject Classification ID: 57R60
Mathematics Subject Classification ID: 58D05
zbMATH DE Number: 3971788
zbMATH Keywords: homotopy groups of groups of diffeomorphisms
zbMATH Keywords: homotopy spheres
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3971788