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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  Read more...
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Additional Physical Format: ebook version :
Document Type: Book
All Authors / Contributors: Chris Wendl
ISBN: 9781108497404 1108497403
OCLC Number: 1119618718
Description: viii, 185 pages : illustrations ; 24 cm.
Contents: Motivation --
Closed holomorphic curves in symplectic 4-manifolds --
Intersections, ruled surfaces, and contact boundaries --
Asymptotics of punctured holomorphic curves --
Intersection theory for punctured holomorphic curves --
Symplectic fillings of planar contact 3-manifolds --
Appendix A - Properties of Pseudoholomorphic Curves --
Appendix B - Local Positivity of Intersections --
Appendix C - A Quick Survey of Siefring's Intersection Theory.
Series Title: Cambridge tracts in mathematics, 220.
Responsibility: Chris Wendl.

Abstract:

Based on a series of lectures for students in topology, this book provides an entry point into the intersection theory of punctured holomorphic curves. Appendices featuring quick reference guides for  Read more...

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