Embedding Problems in Symplectic Geometry PDF Download
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Author: Felix Schlenk
Publisher: Walter de Gruyter
ISBN: 3110199696
Category : Mathematics
Languages : en
Pages : 261
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Book Description
Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise as time-1-maps of Hamiltonian flows. The spectacular rigidity phenomena for symplectic mappings discovered in the last two decades show that certain things cannot be done by a symplectic mapping. For instance, Gromov's famous "non-squeezing'' theorem states that one cannot map a ball into a thinner cylinder by a symplectic embedding. The aim of this book is to show that certain other things can be done by symplectic mappings. This is achieved by various elementary and explicit symplectic embedding constructions, such as "folding", "wrapping'', and "lifting''. These constructions are carried out in detail and are used to solve some specific symplectic embedding problems. The exposition is self-contained and addressed to students and researchers interested in geometry or dynamics.
Author: Felix Schlenk
Publisher: Walter de Gruyter
ISBN: 3110199696
Category : Mathematics
Languages : en
Pages : 261
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Book Description
Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise as time-1-maps of Hamiltonian flows. The spectacular rigidity phenomena for symplectic mappings discovered in the last two decades show that certain things cannot be done by a symplectic mapping. For instance, Gromov's famous "non-squeezing'' theorem states that one cannot map a ball into a thinner cylinder by a symplectic embedding. The aim of this book is to show that certain other things can be done by symplectic mappings. This is achieved by various elementary and explicit symplectic embedding constructions, such as "folding", "wrapping'', and "lifting''. These constructions are carried out in detail and are used to solve some specific symplectic embedding problems. The exposition is self-contained and addressed to students and researchers interested in geometry or dynamics.
Author: United States. Army. Ordnance Department
Publisher:
ISBN:
Category :
Languages : en
Pages : 1158
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Book Description
Author: Stefan Behrens
Publisher: Oxford University Press
ISBN: 0198841310
Category : Mathematics
Languages : en
Pages : 492
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Book Description
The Disc Embedding Theorem contains the first thorough and approachable exposition of Freedman's proof of the disc embedding theorem.
Author: Arnold Palmer
Publisher: Simon and Schuster
ISBN: 145160419X
Category : Sports & Recreation
Languages : en
Pages : 260
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Book Description
It was a moment seen by millions on television. During play at the 1999 Phoenix Open, Tiger Woods had a "loose impediment? removed to play his shot -- an everyday occurrence under golf's rules. But that impediment was not a leaf or twig, it was a 350-pound boulder that took six people to move! The gallery and television audience buzzed with disbelief. How could this be legal under the rules? Indeed it could, says golf legend Arnold Palmer, who throughout his distinguished career has taken part in a sizable share of rules controversies. Despite the fact that golf has fewer rules than such sports as baseball or football or rugby, it is a contest of honor, and all players, be they tour professionals or casual weekend hackers, respect the rules. But, as Palmer points out, sometimes the rules are a little confusing -- and from time to time, even the pros are puzzled. When exactly is a ball considered "lost?? How is "slow play? defined? And when is a "drop? allowed? Palmer helps makes sense of it all with simple-to-understand language and hundreds of "infamous? pictures of some of the more controversial rulings -- affording readers a visual recall of memorable moments involving Greg Norman, Lee Janzen, Mark O'Meara, John Daly, even Palmer himself. If you're one of the millions who taketo the links every year, need a clear explanation of all the rules of the game you love, and more important, don't want to be speechless when an argument over the "coefficient of restitution? pops up, then Playing By The Rules will be an invaluable guide you'll refer to time and again.
Author: United States. Patent and Trademark Office
Publisher:
ISBN:
Category : Patents
Languages : en
Pages : 1024
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Book Description
Author: Dusa McDuff
Publisher: Oxford University Press
ISBN: 0198794894
Category : Mathematics
Languages : en
Pages : 637
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Book Description
Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. This new third edition of a classic book in the feild includes updates and new material to bring the material right up-to-date.
Author:
Publisher: Union Square & Co.
ISBN: 1402774451
Category : Sports & Recreation
Languages : en
Pages : 310
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Book Description
Forget the birds, the flowers, and April showers: in golf, you know spring has sprung when the Masters rolls around. Held on the hallowed grounds of the Augusta National Golf Club, and widely broadcast on TV, it’s one of the world’s most-watched sporting events each year. This collection celebrates that famed tournament, as some of America’s best known sportswriters—such as Grantland Rice and Jim Murray—praise the event’s illustrious history and traditions. The Masters has provided the stage for golf’s most prominent names, and they’re all represented on these pages, from Gene Sarazen and Ben Hogan to Arnold Palmer and Jack Nicklaus to Tiger Woods. Fans (many of whom dream of playing it themselves) will take a ride down memory and Magnolia Lane, as they recall great moments in golf, and find out about some of the quirkier, behind-the scene moments, both touching and humorous. MASTERS’ FACTS AND FIGURES: • 43 million Americans watched Tiger Woods win his first of four green jackets. • It’s the number one televised golf tournament in the world. • You cannot apply for membership; you must be invited. • The tradition of wearing green jackets began in 1937. • Dwight D. Eisenhower was the only president to have been a club member.
Author:
Publisher:
ISBN:
Category : Agriculture
Languages : en
Pages : 590
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Book Description
A monthly journal devoted to problems in soil physics, soil chemistry and soil biology.
Author: Jacques Hurtubise
Publisher: Springer Science & Business Media
ISBN: 9401716676
Category : Mathematics
Languages : en
Pages : 227
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Book Description
Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of Seiberg-Witten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to Seiberg-Witten theory, to applications of the S-W theory to four-dimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudo-holomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, Morse-Floer theory; pseudo-convexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory.
Author: Jonny Evans
Publisher: Cambridge University Press
ISBN: 1009372661
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Symington's almost toric fibrations have played a central role in symplectic geometry over the past decade, from Vianna's discovery of exotic Lagrangian tori to recent work on Fibonacci staircases. Four-dimensional spaces are of relevance in Hamiltonian dynamics, algebraic geometry, and mathematical string theory, and these fibrations encode the geometry of a symplectic 4-manifold in a simple 2-dimensional diagram. This text is a guide to interpreting these diagrams, aimed at graduate students and researchers in geometry and topology. First the theory is developed, and then studied in many examples, including fillings of lens spaces, resolutions of cusp singularities, non-toric blow-ups, and Vianna tori. In addition to the many examples, students will appreciate the exercises with full solutions throughout the text. The appendices explore select topics in more depth, including tropical Lagrangians and Markov triples, with a final appendix listing open problems. Prerequisites include familiarity with algebraic topology and differential geometry.
