An Introduction to Contact Topology

✍ Scribed by Hansjorg Geiges

Publisher: Cambridge University Press
Year: 2008
Tongue: English
Leaves: 458
Series: Cambridge Studies in Advanced Mathematics 109
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

An introduction to contact topology

📁 An introduction to contact topology

✍ Hansjörg Geiges 📂 Library 📅 2008 🏛 Cambridge University Press 🌐 English

An introduction to contact topology

📁 An introduction to contact topology

✍ Hansjörg Geiges 📂 Library 📅 2008 🏛 Cambridge University Press 🌐 English

Homology theory: An introduction to alge

📁 Homology theory: An introduction to algebraic topology

✍ P. J. Hilton, S. Wylie 📂 Library 📅 1968 🏛 Cambridge University Press 🌐 English

This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the sub

Homology Theory: An Introduction to Alge

📁 Homology Theory: An Introduction to Algebraic Topology

✍ James W. Vick 📂 Library 📅 1994 🏛 Springer 🌐 English

This was the textbook for the first third of a year-long algebraic topology sequence at Oregon State in 1973-4. We were told by the prof that Vick was a student of Stong and that the book was essentially Stong's course written up with his blessing. It's hard to ask for a better pedigree than that, a

Homology Theory: An Introduction to Alge

📁 Homology Theory: An Introduction to Algebraic Topology

✍ P. J. Hilton, S. Wylie 📂 Library 📅 1968 🏛 Cambridge University Press 🌐 English

Homology theory: An introduction to alge

📁 Homology theory: An introduction to algebraic topology

✍ James W. Vick 📂 Library 📅 1994 🏛 Springer 🌐 English

This book is designed to be an introduction to some of the basic ideas in the field of algebraic topology. In particular, it is devoted to the foundations and applications of homology theory. The only prerequisite for the student is a basic knowledge of abelian groups and point set topology. The ess