{"product_id":"different-faces-of-geometry-9780306486579","title":"Different Faces of Geometry","description":"\u003cp\u003e\u003cstrong\u003eDifferent Faces of Geometry\u003c\/strong\u003e - edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov - presents the current state, new results, original ideas and open questions from the following important topics in modern geometry: \u003c\/p\u003e \u003cp\u003eAmoebas and Tropical Geometry\u003cbr\u003eConvex Geometry and Asymptotic Geometric Analysis\u003cbr\u003eDifferential Topology of 4-Manifolds\u003cbr\u003e3-Dimensional Contact Geometry\u003cbr\u003eFloer Homology and Low-Dimensional Topology\u003cbr\u003eK hler Geometry\u003cbr\u003eLagrangian and Special Lagrangian Submanifolds\u003cbr\u003eRefined Seiberg-Witten Invariants. \u003c\/p\u003e \u003cp\u003eThese apparently diverse topics have a common feature in that they are all areas of exciting current activity. The Editors have attracted an impressive array of leading specialists to author chapters for this volume: G. Mikhalkin (USA-Canada-Russia), V.D. Milman (Israel) and A.A. Giannopoulos (Greece), C. LeBrun (USA), Ko Honda (USA), P. Ozsv th (USA) and Z. Szab  (USA), C. Simpson (France), D. Joyce (UK) and P. Seidel (USA), and S. Bauer (Germany). \u003cbr\u003e\u003c\/p\u003e \u003cp\u003e\"One can distinguish various themes running through the different contributions. There is some emphasis on invariants defined by elliptic equations and their applications in low-dimensional topology, symplectic and contact geometry (Bauer, Seidel, Ozsv th and Szab ). These ideas enter, more tangentially, in the articles of Joyce, Honda and LeBrun. Here and elsewhere, as well as explaining the rapid advances that have been made, the articles convey a wonderful sense of the vast areas lying beyond our current understanding. \u003cbr\u003eSimpson's article emphasizes the need for interesting new constructions (in that case of K hler and algebraic manifolds), a point which is also made by Bauer in the context of 4-manifolds and the \"11\/8 conjecture\". \u003cbr\u003eLeBrun's article gives another perspective on 4-manifold theory, via Riemannian geometry, and the challenging open questions involving the geometry of even \"well-known\" 4-manifolds. \u003cbr\u003eThere are also striking contrasts between the articles. The authors have taken different approaches: for example, the thoughtful essay of Simpson, the new research results of LeBrun and the thorough expositions with homework problems of Honda. \u003cbr\u003eOne can also ponder the differences in the style of mathematics. In the articles of Honda, Giannopoulos and Milman, and Mikhalkin, the \"geometry\" is present in a very vivid and tangible way; combining respectively with topology, analysis and algebra. The papers of Bauer and Seidel, on the other hand, makes the point that algebraic and algebro-topological abstraction (triangulated categories, spectra) can play an important role in very unexpected ways in concrete geometric problems.\" - \u003cem\u003eFrom the Preface by the Editors\u003c\/em\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Simon Donaldson\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/21\/2004\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 404\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.85lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.38h x 6.44w x 1.25d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780306486579\u003cp\u003e\u003ci\u003eThis title is not returnable\u003c\/i\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":39952749232243,"sku":"9.78E+12","price":222.95,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/products\/img_39d1c7ac-6e28-4929-8353-ad5a73246881.jpg?v=1648564878","url":"https:\/\/bookstorenmore.com\/en-de\/products\/different-faces-of-geometry-9780306486579","provider":"Bookstore N More","version":"1.0","type":"link"}