{"product_id":"gromovs-compactness-theorem-for-pseudo-holomorphic-curves-9783034898423","title":"Gromov's Compactness Theorem for Pseudo-Holomorphic Curves","description":"\u003cp\u003e • Author(s): Christoph Hummel\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Geometry - Analytic\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eMikhail 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. \u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45280495435927,"sku":"9783034898423","price":3639.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783034898423.webp?v=1769296483","url":"https:\/\/atlanticbooks.com\/products\/gromovs-compactness-theorem-for-pseudo-holomorphic-curves-9783034898423","provider":"Atlantic Books","version":"1.0","type":"link"}