Holomorphic Curves in Low Dimensions From Symplectic Ruled Surfaces to Planar Contact Manifolds
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 th...
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2018, 2018
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| Edition: | 1st ed. 2018 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1 Introduction
- 2 Background on Closed Pseudoholomorphic Curves
- 3 Blowups and Lefschetz Fibrations
- 4 Compactness
- 5 Exceptional Spheres
- 6 Rational and Ruled Surfaces
- 7 Uniruled Symplectic 4-Manifolds
- 8 Holomorphic Curves in Symplectic Cobordisms
- 9 Contact 3-Manifolds and Symplectic Fillings
- Appendix
- Bibliography
- Index