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An Introduction to Contact Topology pdf epub mobi 圖書描述

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.

An Introduction to Contact Topology 2024 pdf epub mobi 電子書 下載

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發表於2024-10-01

An Introduction to Contact Topology 2024 pdf epub mobi 電子書 下載

An Introduction to Contact Topology 2024 pdf epub mobi 電子書 下載

An Introduction to Contact Topology 2024 pdf epub mobi 電子書 下載

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圖書標籤: 數學  接觸流形  微分幾何7  to  Topology  Introduction  Contact  An   

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