An Introduction to Contact Topology pdf epub mobi txt 电子书 下载 2024


An Introduction to Contact Topology

简体网页||繁体网页
Hansjörg Geiges
Cambridge University Press
2008-3-17
456
USD 100.00
Hardcover
Cambridge Studies in Advanced Mathematics
9780521865852

图书标签: 数学  接触流形  微分几何7  to  Topology  Introduction  Contact  An   


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发表于2024-12-25

An Introduction to Contact Topology epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

An Introduction to Contact Topology epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

An Introduction to Contact Topology pdf epub mobi txt 电子书 下载 2024



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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.

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