Embeddings of nonorientable 4-manifolds in \(R^ 6\)
type: Item
instance of: scholarly article
title: Embeddings of nonorientable 4-manifolds in \(R^ 6\)
zbMATH Open document ID: 0860.57024
DOI: 10.1016/0040-9383(95)00045-3
published in: Topology
publication date: 1997-04-29T00:00:00Z
review text: This paper conjectures that a nonorientable closed smooth (topological) 4-manifold \(M\) imbeds smoothly (locally flat) in \(\mathbb{R}^6\) if and only if \(\overline{W}_2(M)=0\) (and the Kirby-Siebenmann invariant is zero). For an oriented 4-manifold imbedding in \(\mathbb{R}^6\) has been understood for some time. The author is attempting to extend the result to the nonorientable case and obtains several imbedding results supporting this conjecture.
Mathematics Subject Classification ID: 57R40
zbMATH DE Number: 929549
zbMATH Keywords: 4-manifold
zbMATH Keywords: Kirby-Siebenmann invariant
zbMATH Keywords: imbedding
author: Fuquan Fang
MaRDI profile type: Publication
full work available at URL: 0040-9383(95)00045-3
OpenAlex ID: W2062726417
description: scientific article; zbMATH DE number 929549