Nonuniform hyperbolic lattices and exotic smooth structures
type: Item
instance of: scholarly article
title: Nonuniform hyperbolic lattices and exotic smooth structures
zbMATH Open document ID: 0794.57008
published in: Journal of Differential Geometry
publication date: 1994-09-04T00:00:00Z
review text: This paper considers the operation of a manifold \(M^ n\) of removing a tube \(S^ 1\times D^{n-1}\) and reinserting it with a twist along the boundary. It is used to change the differentiable structure of the manifold, even when \(M\) is noncompact. The standard technique for changing the differentiable structure of \(M\) is to form the connected sum \(M\# \Sigma\), where \(\Sigma\) is a homotopy sphere. There are, however, cases in which this connected sum method does not work (when \(M\) is noncompact, for example) and the new method works.
Mathematics Subject Classification ID: 57R10
zbMATH DE Number: 488224
zbMATH Keywords: surgery
zbMATH Keywords: manifold
zbMATH Keywords: differentiable structure
author: F. Thomas Farrell
author: Lowell Jones
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4310/jdg/1214454295
OpenAlex ID: W1501101148
Wikidata QID: Q115180157
DOI: 10.4310/JDG/1214454295
description: scientific article; zbMATH DE number 488224