An introduction to contact topology / Hansjorg Geiges

Auteur: Geiges, Hansjörg (1966-) - AuteurType de document: MonographieCollection: Cambridge studies in advanced mathematics, 109Langue: anglaisPays: Grande BretagneÉditeur: Cambridge : Cambridge University Press, 2008Description: 1 vol. (440 p.) ; 24 cm ISBN: 9780521865852 ; rel. Note: The book is divided into 8 chapters. The author gives a detailed and strict introduction to contact topology. The following questions are treated: basic facts of contact geometry, contact manifolds, contact Hamiltonians, Darboux’s theorem and neighbourhood theorems, contact structures on 3-manifolds, knots in contact 3-manifolds, symplectic cobordisms, convexity and Levi pseudoconvexity, contact surgery, Brieskorn manifolds, Boothby-Wang construction, contact structures on 5-manifolds etc. The exposition is clear and well organized. This monography can be used as an introduction to contact topology by PhD students and professional researchers. (Zentralblatt)Bibliographie: Bibliogr. Index. Sujets MSC: 53D10 Differential geometry -- Symplectic geometry, contact geometry -- Contact manifolds, general
53-02 Differential geometry -- Research exposition (monographs, survey articles)
57-02 Manifolds and cell complexes -- Research exposition (monographs, survey articles)
En-ligne: Zentralblatt | MathSciNet
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The book is divided into 8 chapters. The author gives a detailed and strict introduction to contact topology. The following questions are treated: basic facts of contact geometry, contact manifolds, contact Hamiltonians, Darboux’s theorem and neighbourhood theorems, contact structures on 3-manifolds, knots in contact 3-manifolds, symplectic cobordisms, convexity and Levi pseudoconvexity, contact surgery, Brieskorn manifolds, Boothby-Wang construction, contact structures on 5-manifolds etc.

The exposition is clear and well organized.
This monography can be used as an introduction to contact topology by PhD students and professional researchers. (Zentralblatt)

Bibliogr. Index

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