Symplectic Topology And Floer Homology Volume 1 Symplectic Geometry And Pseudoholomorphic Curves
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Author | : Yong-Geun Oh |
Publisher | : Cambridge University Press |
Total Pages | : 421 |
Release | : 2015-08-27 |
Genre | : Mathematics |
ISBN | : 1316381145 |
Download Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves Book in PDF, Epub and Kindle
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.
Author | : Yong-Geun Oh |
Publisher | : Cambridge University Press |
Total Pages | : 421 |
Release | : 2015-08-27 |
Genre | : Mathematics |
ISBN | : 110707245X |
Download Symplectic Topology and Floer Homology Book in PDF, Epub and Kindle
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.
Author | : Yong-Geun Oh |
Publisher | : Cambridge University Press |
Total Pages | : 420 |
Release | : 2015-08-27 |
Genre | : Mathematics |
ISBN | : 9781107072459 |
Download Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves Book in PDF, Epub and Kindle
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.
Author | : |
Publisher | : |
Total Pages | : 395 |
Release | : 2015 |
Genre | : MATHEMATICS |
ISBN | : 9781316384749 |
Download Symplectic Topology and Floer Homology: Symplectic geometry and pseudoholomorphic curves Book in PDF, Epub and Kindle
Author | : Yong-Geun Oh |
Publisher | : Cambridge University Press |
Total Pages | : 471 |
Release | : 2015-08-27 |
Genre | : Mathematics |
ISBN | : 1316381390 |
Download Symplectic Topology and Floer Homology: Volume 2, Floer Homology and its Applications Book in PDF, Epub and Kindle
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.
Author | : Yong-Geun Oh |
Publisher | : Cambridge University Press |
Total Pages | : 471 |
Release | : 2015-08-27 |
Genre | : Mathematics |
ISBN | : 1107109671 |
Download Symplectic Topology and Floer Homology Book in PDF, Epub and Kindle
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.
Author | : Yong-Geun Oh |
Publisher | : Cambridge University Press |
Total Pages | : 420 |
Release | : 2015-08-27 |
Genre | : Mathematics |
ISBN | : 9781107072459 |
Download Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves Book in PDF, Epub and Kindle
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.
Author | : Charles Benedict Thomas |
Publisher | : Cambridge University Press |
Total Pages | : 332 |
Release | : 1996-09-28 |
Genre | : Mathematics |
ISBN | : 9780521570862 |
Download Contact and Symplectic Geometry Book in PDF, Epub and Kindle
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.
Author | : Dusa McDuff |
Publisher | : American Mathematical Soc. |
Total Pages | : 744 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 0821887467 |
Download J-holomorphic Curves and Symplectic Topology Book in PDF, Epub and Kindle
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.
Author | : Yakov Eliashberg |
Publisher | : American Mathematical Soc. |
Total Pages | : 452 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9780821886892 |
Download Symplectic Geometry and Topology Book in PDF, Epub and Kindle
Symplectic geometry has its origins as a geometric language for classical mechanics. But it has recently exploded into an independent field interconnected with many other areas of mathematics and physics. The goal of the IAS/Park City Mathematics Institute Graduate Summer School on Symplectic Geometry and Topology was to give an intensive introduction to these exciting areas of current research. Included in this proceedings are lecture notes from the following courses: Introductionto Symplectic Topology by D. McDuff; Holomorphic Curves and Dynamics in Dimension Three by H. Hofer; An Introduction to the Seiberg-Witten Equations on Symplectic Manifolds by C. Taubes; Lectures on Floer Homology by D. Salamon; A Tutorial on Quantum Cohomology by A. Givental; Euler Characteristicsand Lagrangian Intersections by R. MacPherson; Hamiltonian Group Actions and Symplectic Reduction by L. Jeffrey; and Mechanics: Symmetry and Dynamics by J. Marsden. Information for our distributors: Titles in this series are copublished with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.