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ON THE TOPOLOGY OF THE SPACE OF CONTACT STRUCTURES ON TORUS BUNDLES

Published online by Cambridge University Press:  24 August 2004

HANSJÖRG GEIGES  and
JESÚS GONZALO
HANSJÖRG GEIGES
Affiliation:
Mathematisches Institut, Universität zu Köln, Weyertal 86–90, 50931 Köln, Germanygeiges@math.uni-koeln.de
JESÚS GONZALO
Affiliation:
Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spainjesus.gonzalo@uam.es
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Abstract

Based on the classification of contact structures on the 3-torus and classical contact geometric methods, it is shown that there exist essential loops in the space of contact structures on torus bundles over the circle.

Keywords

53D35 (primary)57R1757Txx (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 5 , September 2004 , pp. 640 - 646
Copyright
© The London Mathematical Society 2004

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