Gromov's Compactness Theorem for Pseudo-holomorphic Curves
Christoph Hummel · 1997
Where to buy
Amazon’s price changes daily, so the most accurate place to see it is there, at the moment you buy.
View on AmazonAbout the book
Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985. Since then, pseudo-holomorphic curves have taken on great importance in many fields. The aim of this book is to present the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint. Properties of particular interest are isoperimetric inequalities, a monotonicity formula, gradient bounds and the removal of singularities. A special chapter is devoted to relevant features of hyperbolic surfaces, where pairs of pants decomposition and thickthin decomposition are described. The book is essentially self-contained and should also be accessible to students with a basic knowledge of differentiable manifolds and covering spaces.
Book details
- Year
- 1997
- Language
- English
- Series
- Progress in Mathematics -- 151
- Publisher
- Birkhäuser Basel
- Editions
- 2
- Pages
- 135
- ISBN
- 9783034898423
Data source: Wikidata