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  3. An Introduction to Contact Topology
  • Cited by 394
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      March 2008
      ISBN:
      9780511611438
      9780521865852
      DOI:
      https://doi.org/10.1017/CBO9780511611438
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.77kg, 458 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Geometry and Topology
      Series:
      Cambridge Studies in Advanced Mathematics (109)
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    Subjects:
    Mathematics (general), Mathematics, Geometry and Topology
    Series:
    Cambridge Studies in Advanced Mathematics (109)
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    Book description

    This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.

    Reviews

    '… a fundamental monograph … can be strongly recommended for graduate students and is indispensable for specialists in the field.'

    Source: EMS Newsletter

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