{"product_id":"gromov-s-compactness-theorem-for-pseudo-holomorphic-curves-von-christoph-hummel","title":"Gromov’s Compactness Theorem for Pseudo-holomorphic Curves","description":"\n                \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\n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783034898423\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783764357351\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783034898423","offer_id":49592499044677,"sku":"9783034898423","price":53.49,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9783764357351","offer_id":49593025298757,"sku":"9783764357351","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/943d6914-d536-43ad-bd75-3b1789d59384.jpg?v=1772086226","url":"https:\/\/shop.autorenwelt.de\/en\/products\/gromov-s-compactness-theorem-for-pseudo-holomorphic-curves-von-christoph-hummel","provider":"Autorenwelt Shop","version":"1.0","type":"link"}