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Symplectic geometry.

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This volume contains the conference proceedings of the Workshop on Global Integrability of Field Theories GIFT 2006 (Cockcroft Institute, Daresbury, UK, 11-01-06 11-03-06), which served as the final conference of the European NEST project GIFT. Within its scope, hitherto unrelated results from various domains including algebraic topology, computer algebra, differential Galois theory, integrable systems, formal theory of differential equations and physical field theories were combined.

Geometry, Algebraic --- Symplectic geometry

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This volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990. The area of symplectic geometry has developed rapidly in the past ten years with major new discoveries that were motivated by and have provided links with many other subjects such as dynamical systems, topology, gauge theory, mathematical physics and singularity theory. The conference brought together a number of leading experts in these areas of mathematics. The contributions to this volume reflect the richness of the subject and include expository papers as well as original research. They will be an essential source for all research mathematicians in symplectic geometry.

Symplectic geometry. --- Geometry, Differential. --- Differential geometry --- Geometry, Differential --- Symplectic geometry --- Géometrie différentielle --- Géometrie symplectique

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Symplectic geometry. --- Géométrie symplectique --- Géométrie symplectique

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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 and contact topology. --- Floer homology. --- Symplectic geometry.