Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory 接触三维流形、全纯曲线与相交理论精装

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作者Chris Wendl

出版社Cambridge University Press

ISBN9781108497404

出版时间1998-04

装帧精装

开本其他

定价1627元

货号YB-70410

上书时间2024-03-10

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Intersection theory has played a prominent role in the study of closed symplectic 4-manifolds since Gromov's famous 1985 paper on pseudoholomorphic curves, leading to myriad beautiful rigidity results that are either inaccessible or not true in higher dimensions. Siefring's recent extension of the theory to punctured holomorphic curves allowed similarly important results for contact 3-manifolds and their symplectic fillings. Based on a series of lectures for graduate students in topology, this book begins with an overview of the closed case, and then proceeds to explain the essentials of Siefring's intersection theory and how to use it, and gives some sample applications in low-dimensional symplectic and contact topology. The appendices provide valuable information for researchers, including a concise reference guide on Siefring's theory and a self-contained proof of a weak version of the Micallef–White theorem.