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Lectures on contact 3-manifolds, hol...

Wendl, Chris.

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Lectures on contact 3-manifolds, holomorphic curves and intersection theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lectures on contact 3-manifolds, holomorphic curves and intersection theory/ Chris Wendl.
作者:	Wendl, Chris.
出版者:	Cambridge :Cambridge University Press, : 2020.,
面頁冊數:	viii, 185 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 06 Mar 2020).
標題:	Intersection theory (Mathematics) -
電子資源:	https://doi.org/10.1017/9781108608954
ISBN:	9781108608954

Lectures on contact 3-manifolds, holomorphic curves and intersection theory
Wendl, Chris.

Lectures on contact 3-manifolds, holomorphic curves and intersection theory[electronic resource] /Chris Wendl. - Cambridge :Cambridge University Press,2020. - viii, 185 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;220. - Cambridge tracts in mathematics ;220..

Title from publisher's bibliographic system (viewed on 06 Mar 2020).

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.

ISBN: 9781108608954Subjects--Topical Terms:

3274975
Intersection theory (Mathematics)

LC Class. No.: QA564 / .W46 2020

Dewey Class. No.: 512.33

Lectures on contact 3-manifolds, holomorphic curves and intersection theory
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520 $a 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.
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