Gromov's Compactness Theorem for Pseudo-Holomorphic Curves - Couverture rigide

Hummel, Christoph

 
9783764357351: Gromov's Compactness Theorem for Pseudo-Holomorphic Curves

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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Autres éditions populaires du même titre

9783034898423: Gromov’s Compactness Theorem for Pseudo-holomorphic Curves

Edition présentée

ISBN 10 :  3034898428 ISBN 13 :  9783034898423
Editeur : Birkhäuser, 2012
Couverture souple