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.
發表於2024-12-23
An Introduction to Contact Topology 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 接觸流形 微分幾何7 to Topology Introduction Contact An
An Introduction to Contact Topology 2024 pdf epub mobi 電子書 下載