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  E-mail Message: I thought you might be interested in this item at http://www.worldcat.org/oclc/1119618718 Title: Lectures on contact 3-manifolds, holomorphic curves and intersection theory Author: Chris Wendl Publisher: Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020. ©2020 ISBN/ISSN: 9781108497404 1108497403 OCLC:1119618718

  
  

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

Author:	Chris Wendl
Publisher:	Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020. ©2020
Series:	Cambridge tracts in mathematics, 220.
Edition/Format:	Print book : EnglishView all editions and formats
Summary:	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.--  Read more...
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Subjects	Symplectic and contact topology. Pseudoholomorphic curves. Contact manifolds. View all subjects
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