Gromov’s Compactness Theorem for Pseudo-holomorphic Curves (Progress in Mathematics, 151) - Hardcover

Hummel, Christoph

 
9783764357351: Gromov’s Compactness Theorem for Pseudo-holomorphic Curves (Progress in Mathematics, 151)
Hardcover
ISBN 10: 3764357355 ISBN 13: 9783764357351
Publisher: Birkhäuser, 1997

Synopsis

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.

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Review

 
  "...the book provides a self-contained and for the most part excellent elaboration of Gromov's proof of the compactness theorem."   
  -- Mathematical Reviews 

"About this title" may belong to another edition of this title.

Publisher
Birkhäuser
Publication date
1997
Language
English
ISBN 10 
3764357355
ISBN 13 
9783764357351
Binding
Hardcover
Number of pages
143

Other Popular Editions of the Same Title

9783034898423: Gromov’s Compactness Theorem for Pseudo-holomorphic Curves (Progress in Mathematics)

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ISBN 10:  3034898428 ISBN 13:  9783034898423
Publisher: Birkhäuser, 2012
Softcover