4-manifolds with large symmetry groups
type: Item
instance of: scholarly article
title: 4-manifolds with large symmetry groups
zbMATH Open document ID: 0594.57019
DOI: 10.1016/0040-9383(86)90006-6
author: Paul Melvin
author: Jeffrey S. Parker
published in: Topology
publication date: 1986-01-01T00:00:00Z
review text: This paper provides a diffeomorphism classification of all closed oriented four dimensional manifolds which have an effective action of a compact (connected ?) non-abelian Lie group. In addition, the paper contains an equivariant classification of SU(2) and SO(3) actions on four dimensional manifolds. These are the crucial groups for the problem.
Mathematics Subject Classification ID: 57S15
zbMATH DE Number: 3956013
zbMATH Keywords: effective action of a compact non-abelian Lie group
zbMATH Keywords: SU(2)
zbMATH Keywords: actions
zbMATH Keywords: diffeomorphism classification
zbMATH Keywords: four dimensional manifolds
zbMATH Keywords: SO(3) actions
MaRDI profile type: Publication
full work available at URL: 0040-9383(86)90006-6
OpenAlex ID: W2046874816
description: scientific article; zbMATH DE number 3956013