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An introduction to contact topology

Geiges, Hansjorg, (1966-)

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An introduction to contact topology

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An introduction to contact topology/ Hansjorg Geiges.
作者:	Geiges, Hansjorg,
出版者:	Cambridge :Cambridge University Press, : 2008.,
面頁冊數:	xv, 440 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Symplectic and contact topology. -
電子資源:	https://doi.org/10.1017/CBO9780511611438
ISBN:	9780511611438

An introduction to contact topology
Geiges, Hansjorg,1966-

An introduction to contact topology[electronic resource] /Hansjorg Geiges. - Cambridge :Cambridge University Press,2008. - xv, 440 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;109. - Cambridge studies in advanced mathematics ;109..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511611438Subjects--Topical Terms:

745261
Symplectic and contact topology.

LC Class. No.: QA613.659 / .G45 2008

Dewey Class. No.: 514.72

An introduction to contact topology
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520 $a 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.
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