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Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves

Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves PDF Author: Yong-Geun Oh
Publisher: Cambridge University Press
ISBN: 1316381145
Category : Mathematics
Languages : en
Pages : 421

Book Description
Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 1 covers the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. One novel aspect of this treatment is the uniform treatment of both closed and open cases and a complete proof of the boundary regularity theorem of weak solutions of pseudo-holomorphic curves with totally real boundary conditions. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.

Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves

Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves PDF Author: Yong-Geun Oh
Publisher: Cambridge University Press
ISBN: 1316381145
Category : Mathematics
Languages : en
Pages : 421

Book Description
Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 1 covers the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. One novel aspect of this treatment is the uniform treatment of both closed and open cases and a complete proof of the boundary regularity theorem of weak solutions of pseudo-holomorphic curves with totally real boundary conditions. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.

Symplectic Topology and Floer Homology

Symplectic Topology and Floer Homology PDF Author: Yong-Geun Oh
Publisher: Cambridge University Press
ISBN: 110707245X
Category : Mathematics
Languages : en
Pages : 421

Book Description
The first part of a two-volume set offering a systematic explanation of symplectic topology. This volume covers the basic materials of Hamiltonian dynamics and symplectic geometry.

Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves

Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves PDF Author: Yong-Geun Oh
Publisher: Cambridge University Press
ISBN: 9781107072459
Category : Mathematics
Languages : en
Pages : 420

Book Description
Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 1 covers the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. One novel aspect of this treatment is the uniform treatment of both closed and open cases and a complete proof of the boundary regularity theorem of weak solutions of pseudo-holomorphic curves with totally real boundary conditions. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.

Symplectic Topology and Floer Homology

Symplectic Topology and Floer Homology PDF Author: Yong-Geun Oh
Publisher:
ISBN: 9781316359549
Category : Floer homology
Languages : en
Pages : 395

Book Description
The first part of a two-volume set offering a systematic explanation of symplectic topology. This volume covers the basic materials of Hamiltonian dynamics and symplectic geometry.

Symplectic Topology and Floer Homology: Volume 2, Floer Homology and its Applications

Symplectic Topology and Floer Homology: Volume 2, Floer Homology and its Applications PDF Author: Yong-Geun Oh
Publisher: Cambridge University Press
ISBN: 1316381390
Category : Mathematics
Languages : en
Pages : 471

Book Description
Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory, including many examples of their applications to various problems in symplectic topology. The first volume covered the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.

Symplectic Topology and Floer Homology

Symplectic Topology and Floer Homology PDF Author: Yong-Geun Oh
Publisher: Cambridge University Press
ISBN: 1107109671
Category : Mathematics
Languages : en
Pages : 471

Book Description
The second part of a two-volume set offering a systematic explanation of symplectic topology. This volume provides a comprehensive introduction to Hamiltonian and Lagrangian Floer theory.

J-holomorphic Curves and Symplectic Topology

J-holomorphic Curves and Symplectic Topology PDF Author: Dusa McDuff
Publisher: American Mathematical Soc.
ISBN: 0821887467
Category : Pseudoholomorphic curves
Languages : en
Pages : 744

Book Description
The main goal of this book is to establish the fundamental theorems of the subject in full and rigourous detail. In particular, the book contains complete proofs of Gromov's compactness theorem for spheres, of the gluing theorem for spheres, and of the associatively of quantum multiplication in the semipositive case. The book can also serve as an introduction to current work in symplectic topology.

Contact and Symplectic Geometry

Contact and Symplectic Geometry PDF Author: Charles Benedict Thomas
Publisher: Cambridge University Press
ISBN: 9780521570862
Category : Mathematics
Languages : en
Pages : 332

Book Description
This volume presents some of the lectures and research during the special programme held at the Newton Institute in 1994. The two parts each contain a mix of substantial expository articles and research papers that outline important and topical ideas. Many of the results have not been presented before, and the lectures on Floer homology is the first avaliable in book form.Symplectic methods are one of the most active areas of research in mathematics currently, and this volume will attract much attention.

Symplectic Topology and Floer Homology

Symplectic Topology and Floer Homology PDF Author: Yong-Geun Oh
Publisher:
ISBN: 9781316271889
Category : Floer homology
Languages : en
Pages : 446

Book Description


Contact and Symplectic Topology

Contact and Symplectic Topology PDF Author: Frédéric Bourgeois
Publisher: Springer Science & Business Media
ISBN: 3319020366
Category : Science
Languages : en
Pages : 530

Book Description
Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties satisfied by these geometric structures launched a new research field worldwide. The intense activity of many European research groups in this field is reflected by the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST). The lectures of the Summer School in Nantes (June 2011) and of the CAST Summer School in Budapest (July 2012) provide a nice panorama of many aspects of the present status of contact and symplectic topology. The notes of the minicourses offer a gentle introduction to topics which have developed in an amazing speed in the recent past. These topics include 3-dimensional and higher dimensional contact topology, Fukaya categories, asymptotically holomorphic methods in contact topology, bordered Floer homology, embedded contact homology, and flexibility results for Stein manifolds.