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An Introduction to Contact Topology (Cambridge Studies in Advanced Mathematics, Series Number 109)

Hansjörg Geiges
4.9/5 (21403 ratings)
Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with An Introduction to Contact Topology (Cambridge Studies in Advanced Mathematics, Series Number 109). To get started finding An Introduction to Contact Topology (Cambridge Studies in Advanced Mathematics, Series Number 109), you are right to find our website which has a comprehensive collection of manuals listed.
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0521865859

An Introduction to Contact Topology (Cambridge Studies in Advanced Mathematics, Series Number 109)

Hansjörg Geiges
4.4/5 (1290744 ratings)
Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with An Introduction to Contact Topology (Cambridge Studies in Advanced Mathematics, Series Number 109). To get started finding An Introduction to Contact Topology (Cambridge Studies in Advanced Mathematics, Series Number 109), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
Format
PDF, EPUB & Kindle Edition
Publisher
Release
ISBN
0521865859
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