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Introduction to Contact Topology - 9780521865852

Un libro in lingua di Geiges Hansjorg edito da CAMBRIDGE UNIVERSITY PRESS, 2008

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This text on contact topology is the first 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 where the focus mainly on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums.

Informazioni bibliografiche

  • Titolo del Libro in lingua: Introduction to Contact Topology
  • Lingua: English
  • AutoreGeiges Hansjorg
  • Editore: CAMBRIDGE UNIVERSITY PRESS
  • Data di Pubblicazione: 13 Marzo '08
  • Genere: Lingua Inglese
  • EAN-13: 9780521865852