Gromov's Compactness Theorem for Pseudo-Holomorphic Curves Softcover Repri Edition Contributor(s): Hummel, Christoph (Author) |
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ISBN: 3034898428 ISBN-13: 9783034898423 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: October 2012 |
Additional Information |
BISAC Categories: - Mathematics | Geometry - Analytic |
Dewey: 516.373 |
Series: Progress in Mathematics |
Physical Information: 0.32" H x 6.14" W x 9.21" (0.48 lbs) 135 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |