Different Faces of Geometry (International Mathematical Series) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Different Faces of Geometry (International Mathematical Series)

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Simon K. Donaldson 作者
Springer
譯者
2004-07-01 出版日期
427 頁數
USD 159.00 價格
Hardcover
叢書系列
9780306486579 圖書編碼

Different Faces of Geometry (International Mathematical Series) 在線電子書 圖書標籤: 數學  of  geometry  Springer  Geometry  Faces  Different   


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Different Faces of Geometry (International Mathematical Series) 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Different Faces of Geometry (International Mathematical Series) 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Different Faces of Geometry (International Mathematical Series) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Different Faces of Geometry (International Mathematical Series) 在線電子書 著者簡介


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Different Faces of Geometry (International Mathematical Series) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Different Faces of Geometry (International Mathematical Series) 在線電子書 圖書描述

Different Faces of Geometry - 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: Amoebas and Tropical GeometryConvex Geometry and Asymptotic Geometric AnalysisDifferential Topology of 4-Manifolds3-Dimensional Contact GeometryFloer Homology and Low-Dimensional TopologyKähler GeometryLagrangian and Special Lagrangian SubmanifoldsRefined Seiberg-Witten Invariants. These 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. Ozsváth (USA) and Z. Szabó (USA), C. Simpson (France), D. Joyce (UK) and P. Seidel (USA), and S. Bauer (Germany). "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, Ozsváth and Szabó). 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. Simpson's article emphasizes the need for interesting new constructions (in that case of Kähler and algebraic manifolds), a point which is also made by Bauer in the context of 4-manifolds and the "11/8 conjecture". LeBrun'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. There 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. One 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." - From the Preface by the Editors

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