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Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory on Hardback by Chris Wendl
Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory on Hardback by Chris Wendl
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Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory

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Description

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.

Author Biography:

Chris Wendl is Professor of Differential Geometry and Global Analysis at Humboldt University of Berlin. He is the author of Holomorphic Curves in Low Dimensions: From Symplectic Ruled Surfaces to Planar Contact Manifolds (2018), and a recent recipient of an ERC Consolidator Grant.
Release date NZ
March 26th, 2020
Author
Audiences
  • Postgraduate, Research & Scholarly
  • Undergraduate
Illustrations
Worked examples or Exercises; 2 Halftones, black and white; 18 Line drawings, black and white
Pages
194
Dimensions
156x235x15
ISBN-13
9781108497404
Product ID
31588342

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