An introduction to contact topology. (English) Zbl 1153.53002

Cambridge Studies in Advanced Mathematics 109. Cambridge: Cambridge University Press (ISBN 978-0-521-86585-2/hbk). xv, 440 p. (2008).
The book under review 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.


53-02 Research exposition (monographs, survey articles) pertaining to differential geometry
57-02 Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes
53D10 Contact manifolds (general theory)
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