Symplectic structures on \(T^ 2\)-bundles over \(T^ 2\)
type: Item
instance of: scholarly article
title: Symplectic structures on \(T^ 2\)-bundles over \(T^ 2\)
zbMATH Open document ID: 0763.53037
DOI: 10.1215/S0012-7094-92-06721-4
author: Hansjörg Geiges
published in: Duke Mathematical Journal
publication date: 1992-12-14T00:00:00Z
review text: Let \(T^ 2\) be the 2-dimensional torus and let \(M\) be a smooth, orientable \(T^ 2\)-bundle over \(T^ 2\). The main result of this paper is that every cohomology class in \(H^ 2(M;\mathbb{R})\) with nonzero square can be realized by a symplectic form.
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 78570
zbMATH Keywords: cohomology class
zbMATH Keywords: symplectic form
reviewed by: Frances Kirwan
MaRDI profile type: Publication
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full work available at URL: s0012-7094-92-06721-4
OpenAlex ID: W1573408762
description: scientific article; zbMATH DE number 78570