An Introduction to Contact Topology | Buch

Cover: 9780521865852 | An Introduction to Contact Topology | Hansjorg Geiges | Buch | 2013

Rückseite: 9780521865852 | An Introduction to Contact Topology | Hansjorg Geiges | Buch | 2013

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Hansjörg Geiges is Professor of Mathematics in the Mathematisches Institut at Universität zu Köln.

Inhaltsverzeichnis

Foreword; 1. Facets of Contact Geometry; 2. Contact Manifolds; 3. Knots in Contact 3-Manifolds; 4. Contact Structures on 3-Manifolds; 5. Symplectic Fillings and Convexity; 6. Contact Surgery; 7. Further Constructions of Contact Manifolds; 8. Contact Structures on 5-Manifolds; Appendix A. The generalised Poincaré lemma; Appendix B. Time-dependent vector fields; References; Notation Index; Author Index; Subject Index.

Details

Erscheinungsjahr:	2013
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	Gebunden
ISBN-13:	9780521865852
ISBN-10:	0521865859
Sprache:	Englisch
Einband:	Gebunden
Autor:	Geiges, Hansjorg
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	235 x 157 x 31 mm
Von/Mit:	Hansjorg Geiges
Erscheinungsdatum:	17.05.2013
Gewicht:	0,889 kg