Foliated cobordism classes of certain foliated \(S^ 1\)-bundles over surfaces
type: Item
instance of: scholarly article
title: Foliated cobordism classes of certain foliated \(S^ 1\)-bundles over surfaces
zbMATH Open document ID: 0555.57011
DOI: 10.1016/0040-9383(84)90042-9
author: Takashi Tsuboi
published in: Topology
publication date: 1984-01-01T00:00:00Z
review text: For foliated circle bundles over oriented surfaces with a particular structure group, it is shown that the Godbillon-Vey invariant is a complete invariant for \(C^{\infty}\)-foliated cobordism classes. In particular, \textit{W. Thurston}'s examples [Bull. Am. Math. Soc. 78, 511- 514 (1972; Zbl 0266.57004)] are cobordant to zero if their Godbillon-Vey invariants are zero.
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 57R32
Mathematics Subject Classification ID: 57R90
zbMATH DE Number: 3884995
zbMATH Keywords: foliated circle bundles over oriented surfaces
zbMATH Keywords: Godbillon-Vey invariant
zbMATH Keywords: foliated cobordism classes
MaRDI profile type: Publication
full work available at URL: 0040-9383(84)90042-9
OpenAlex ID: W2038793857
description: scientific article; zbMATH DE number 3884995