Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Introduction: Motivation
- Lecture 1 Closed Holomorphic Curves in Symplectic 4-Manifolds
- Lecture 2 Intersections, Ruled Surfaces, and Contact Boundaries
- Lecture 3 Asymptotics of Punctured Holomorphic Curves
- Lecture 4 Intersection Theory for Punctured Holomorphic Curves
- Lecture 5 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
- References
- Index
Appendix A - Properties of Pseudoholomorphic Curves
Published online by Cambridge University Press: 06 March 2020
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Introduction: Motivation
- Lecture 1 Closed Holomorphic Curves in Symplectic 4-Manifolds
- Lecture 2 Intersections, Ruled Surfaces, and Contact Boundaries
- Lecture 3 Asymptotics of Punctured Holomorphic Curves
- Lecture 4 Intersection Theory for Punctured Holomorphic Curves
- Lecture 5 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
- References
- Index
Summary
This appendix provides a quick summary (without proofs) of the standard technical results of holomorphic curves that are needed in the rest of the book, including the basic facts on simple and multiply covered curves, moduli spaces and their dimensions, Fredholm regularity, and compactifications. The treatment covers both closed and punctured (asymptotically cylindrical) holomorphic curves.
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- Publisher: Cambridge University PressPrint publication year: 2020