Difféomorphismes des sommes connexes en dimension trois. (Diffeomorphisms of connected sums in dimension three)
type: Item
instance of: scholarly article
title: Difféomorphismes des sommes connexes en dimension trois. (Diffeomorphisms of connected sums in dimension three)
zbMATH Open document ID: 0579.57009
DOI: 10.1016/0040-9383(84)90004-1
author: Harrie Hendriks
author: François Laudenbach
published in: Topology
publication date: 1984-01-01T00:00:00Z
review text: Consider a compact orientable 3-manifold M, decomposed as the connected sum of prime manifolds \(M_ i\). What can you say about the space Diff(M) of diffeomorphisms of M knowing the spaces \(Diff(M_ i) ?\) The authors answer this question, and show how to compute the weak homotopy type of Diff(M) in terms of the \(Diff(M_ i)\) and of a certain configuration space. A fundamental ingredient of their argument is a disjunction technique developed by \textit{A. Hatcher} [Proc. Am. Math. Soc. 83, 427-430 (1981; Zbl 0481.57005)].
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 57R50
Mathematics Subject Classification ID: 58D05
zbMATH DE Number: 3927918
zbMATH Keywords: weak homotopy type of the space of diffeomorphisms
zbMATH Keywords: space of
zbMATH Keywords: diffeomorphisms
zbMATH Keywords: compact orientable 3-manifold
zbMATH Keywords: connected sum of prime manifolds
zbMATH Keywords: configuration space
reviewed by: Francis Bonahon
MaRDI profile type: Publication
full work available at URL: 0040-9383(84)90004-1
OpenAlex ID: W2040149060
description: scientific article; zbMATH DE number 3927918