Holomorphic Curves in Low Dimensions: From Symplectic Ruled Surfaces to Planar Contact Manifolds

by Chris Wendl

This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three.

The first half of the book focuses on McDuff's characterization of symplectic rational and ruled surfaces, one of the classic early applications of holomorphic curve theory. The proof presented here uses the language of Lefschetz fibrations and pencils, thus it includes...

• Format: Paperback
• Language: English
• ISBN: 3319913697
• ISBN13: 9783319913698
• Release Date: June 2018
• Publisher: Springer
• Length: 294 Pages
• Weight: 0.96 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"