Sinossi
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
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Refined Seiberg- Witten Invariants, Stefan Bauer.- 3-Dimensional Methods in Contact Geometry, Ko Honda. - Asymptotic Convex Geometry. Short Overview, Apostolos A. Giannopoulos and Vitali D. Milman. - Singularities of Special Lagrangian Submanifolds, Dominic Joyce.- Curvature Functionals, Optimal Metrics, and the Differential Topology of 4-Manifolds, Claude LeBrun.- Amoebas of Algebraic Varieties and Tropical Geometry, Grigory Mikhalkin.- Heegaard Diagrams and Holomorphic Disks, Peter Ozsváth and Zoltán Szabó.- Exact Lagrangian Submanifolds in T*Sn and the Graded Kronecker Quiver.- Paul Seidel
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Different Faces of Geometry (eng)
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Different Faces of Geometry (International Mathematical Series)
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Different Faces of Geometry
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 432 pp. Englisch. Codice articolo 9781475787481
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Refined Seiberg- Witten Invariants, Stefan Bauer.- 3-Dimensional Methods in Contact Geometry, Ko Honda. - Asymptotic Convex Geometry. Short Overview, Apostolos A. Giannopoulos and Vitali D. Milman. - Singularities of Special Lagrangian Submanifolds, Dominic. Codice articolo 4208291
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 EditorsSpringer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 432 pp. Englisch. Codice articolo 9781475787481
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9781475787481
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