Symplectic and contact geometry and topology that took place at msri, berkeley in august 2009. Introduction to symplectic topology oxford mathematical monographs by mcduff, dusa, salamon, dietmar and a great selection of related books, art and collectibles available now at. Other readers will always be interested in your opinion of the books youve read. It has its roots in classical mechanics and geometric optics and in its modern guise has many connections to other fields of mathematics and theoretical physics ranging from dynamical systems, lowdimensional topology, algebraic and complex geometry, representation theory, and homological algebra, to classical and quantum mechanics, string theory, and.
Everyday low prices and free delivery on eligible orders. This weeklong meeting of the worlds experts in symplectic geometry and neighbouring fields will celebrate the 60th birthday of sir simon donaldson frs and his profound influence on the subject. In particular, the book contains complete proofs of gromovs compactness. Introduction to symplectic topology hardcover dusa mcduff. Introduction to symplectic topology by mcduff, dusa and salamon, dietmar.
We have already mentioned symplectic geometry a few times, so we should probably explain the topological side of things a bit more. Jul 06, 2017 buy introduction to symplectic topology oxford graduate texts in mathematics 3 by mcduff, dusa, salamon, dietmar isbn. Dusa mcduff and dietmar salamon oxford graduate texts in mathematics. It contains a few mistakes and many omissions which are detailed in this commentary of october 2007. Jholomorphic curves and symplectic topology 2nd dusa. She was the first recipient of the ruth lyttle satter prize in mathematics, was a noether lecturer, and is a fellow of the royal society. Jul 21, 2014 from the msri workshop introductory workshop.
An introduction to symplectic topology through sheaf theory princeton, fall 2010new york,spring2011 c. Dusa mcduff is one of the worlds leading researchers in this field, and has been invited to speak at the international congress of mathematicians 1998. On the moment map on symplectic manifolds biliotti, leonardo, bulletin of the belgian mathematical society simon stevin, 2009. Through quantum cohomology, these curves are now linked to many of the most exciting new ideas in mathematical physics. Complex and symplectic geometry download ebook pdf, epub. One important difference is that, although all its concepts are initially expressed in. Laureation address professor dusa mcduff university of st. Dusa mcduff is one of the worlds leading researchers in this field, and has. Citeseerx document details isaac councill, lee giles, pradeep teregowda. Although a great reference, i didnt like the writing of dusa s very much, and i dont think its exercises are helping me build knowledge. Over the past 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. Dietmar salamon is the author of symplectic geometry 0. My favourite book on symplectic geometry is symplectic invariants and hamiltonian dynamics by hofer and zehnder.
This second editionhas been significantly revised and expanded, with new references and examples added and theorems included or revised. Dusa mcduff and dietmar salamon, introduction to symplectic topology a in her book, michele audin herself recommends paulette libermann and charlesmichel marle, symplectic geometry and analytical mechanics as a wonderful introduction to symplectic geometry. Dusa mcduff, professor of mathematics, columbia university,dietmar salamon. Dietmar salamon author of introduction to symplectic topology. Over the last few 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. Buy introduction to symplectic topology oxford graduate.
Michele audin, torus actions on symplectic manifolds 2nd editiona. Dec 14, 1995 introduction to symplectic topology book. The work presented here was partially supported by nsf grant dms 0604769. She has coauthored several textbooks that explain the foundations of symplectic topology, and is particularly interested in encouraging women to participate in mathematics. Jholomorphic curves and symplectic topology, by dusa mcduff and dietmar salamon. Holomorphic curves in symplectic geometry springerlink. First to be awarded the satter prize 1991 for her work on symplectic geometry second female mathematician to be elected to the royal society 1994 plenary lecturer, international congress of mathematicians 1998 member of the united states national academy of sciences 1999 senior berwick prize of the london mathematical society 2010. Jholomorphic curves and symplectic topology by dusa.
The first edition of introduction to symplectic topology was published in 1995. Introduction to symplectic topology introduction to symplectic topology oxford mathematical monographs introduction to symplectic topology was written by dusa mcduff, and dietmar salamon. Jun 23, 2014 i would describe dusa mcduff as a very dynamic person with an amazing energy, broad interests, very wide knowledge, many original ideas, and deep insights, says dietmar salamon, a professor of mathematics at eth zurich, who has collaborated with mcduff since 1990 when she attended a symplectic geometry conference at the university of. Dusa mcduff is the author of introduction to symplectic topology 3. Dusa mcduff and dietmar salamon, introduction to symplectic topology. At its publication in 1995, introduction to symplectic topology was the first comprehensive introduction to the subject and it has since become an established text in this fastdeveloping branch of mathematics. Dusa mcduff is a mathematician who has produced seminal and groundbreaking work on symplectic geometry. Symplectic structures underlie the equations of classi. Books here is the revised 1995 text of the book jholomorphic curves and quantum homology ams lecture notes, 1994 that i wrote with salamon. Introduction to symplectic topology oxford graduate texts. Symplectic geometry is a central topic in mathematics with connections to algebraic geometry, differential geometry, complex geometry and topology. The second chapter introduces the basic concepts of symplectic topology in the linear algebra setting, such as symplectic vector spaces, the linear symplectic group, lagrangian subspaces, and the maslov index.
Another lovely book which has just been reissued as an ams chelsea text is abraham and marsdens book foundations of mechanics which covers a lot of symplectic geometry as well as so much more. The book can also serve as an introduction to current work in symplectic topology. Introduction to symplectic topology 3rd edition oxford. Buy introduction to symplectic topology oxford graduate texts in mathematics book online at best prices in india on.
Pdf an introduction to symplectic geometry download. Introduction to symplectic topology hardcover dusa. Dusa mcduff, professor of mathematics, columbia university,dietmar salamon, professor of mathematics, eth zurich dusa mcduff was born in london, uk, in 1945. With dietmar salamon, she coauthored two textbooks introduction to symplectic topology and jholomorphic curves. The 486 page book was published by oxford university press in 1998 originally in 1995 with an isbn 10 of 0198504519. Introduction to symplectic topology by dusa mcduff, 9780198794899, available at book depository with free delivery worldwide. In mathematics, its applications include many key results in symplectic topology. Symplectic topology project gutenberg selfpublishing. Symplectic geometry is a central topic of current research in mathematics. Buy introduction to symplectic topology oxford mathematical monographs on free shipping on qualified orders. The last chapter sketches some recent developments in floer theory. A characteristic of both his work and this meeting will be the influence of and on other fields, such as low dimensional topology, algebraic. Dusa mcduff author of introduction to symplectic topology. D salamon 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.
Symplectic topology studies the global aspects of symplectic geometry, whereas the local structures of a symplectic manifold are. Introduction to symplectic topology oxford mathematical. Indeed, symplectic methods are key ingredients in the study of dynamical systems, differential equations, algebraic geometry, topology, mathematical physics and representations of lie groups. Symplectic geometry is a branch of both differential geometry and differential topology. Ana cannas da silva, lectures on symplectic geometry, lnm 1764, springerverlag, berlin, 2001. It is very different from the riemannian geometry with which we are more familiar as it is an evendimensional geometry that measures the signed area of complex curves rather than length or distance as in riemannian geometry. It contains a few mistakes and many omissions which are. It turns out to be very different from the riemannian geometry with which we are familiar. Introduction to symplectic topology by dusa mcduff, 9780198794905, available at book depository with free delivery worldwide. An introduction to symplectic topology through sheaf theory. Michele audin, torus actions on symplectic manifolds 2nd edition a. Mcduff has received many prizes for her contributions to symplectic geometry and topology. Jholomorphic curves and symplectic topology by dusa mcduff. In addition to the notes by cannas da silva mentioned by dick palais, here are further two advanced books covering somewhat different territory.
She has written over 100 papers, as well as coauthoring three books with dietmar salamon. 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. Mar 23, 2017 buy introduction to symplectic topology oxford graduate texts in mathematics book online at best prices in india on. Mcduff has worked in symplectic topology since the early 1980s. Dietmar salamon the theory of \j\holomorphic curves has been of great importance since its introduction by gromov in 1985. Whether youve loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. An introduction to contact topology, by hansjorg geiges course overview. Introduction to symplectic topology by dusa mcduff. Introduction to symplectic geometry, by dusa mcduff and dietmar salamon. A trip to moscow in 1969 was a turning point for dusa mcduff, then a. The book was the first comprehensive introduction to the subject and became a key text in the area.
Introduction to symplectic topology paperback softback by dusa professor of mathematics, professor of mathematics, columbia university mcduff, dietmar professor of mathematics, professor of mathematics, eth zurich salamon part of the oxford graduate texts in mathematics series. She studied mathematics at the university of edinburgh b. Mcduff and salamons book jholomorphic curves and symplectic topology is a comprehensive introduction to gromovs theory of. Jul 25, 20 september 20th, 2012 deans speaker series in geometry topology dusa mcduff barnard college, columbia university embedding symplectic ellipsoids abstract. Introduction to symplectic topology oxford scholarship. An introduction to symplectic geometry book summary. A significantly revised second edition was published in 1998 introducing new. Click download or read online button to get complex and symplectic geometry book now. Instead of trying to give a comprehensive overview of the subject, i will concentrate on explaining a few key concepts and their implications, notably mosers argument or the homotopy method in lecture 2, capacity in lecture 4 and gromovs proof of the nonsqueezing theorem in lecture 5. Notes on kuranishi atlases by mcduff, gromovwhitten theory. Symplectic geometry symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds. This is a very general introductory article published in the notices of the ams 1998. Jholomorphic curves and quantum cohomology dusa mcduff and.
Introduction to symplectic topology oxford graduate texts in. I like cannass book, but its exercises are more of a supplementary nature i think. Introduction to symplectic topology by dusa mcduff, dietmar. Jholomorphic curves and quantum cohomology dusa mcduff. Mcduff and salamon have done an enormous service to the symplectic community. A significantly revised second edition was published in 1998 introducing new sections and updates on the fastdeveloping area. The virtual series on symplectic geometry brings together books from a variety of different series and disciplines within birkhauser and springer with the common theme of how symplectic geometry plays a fundamental role in many areas of mathematical sciences. The main goal of the book is to establish the fundamental theorems of the subject in full and rigorous detail. Go search your store deals store gift cards sell help. At its publication in 1995, introduction to symplectic topology was the first comprehensive introduction to the subject, and has since become an established text in this fastdeveloping area of mathematics.
With dietmar salamon, she coauthored two textbooks introduction to symplectic topology and j holomorphic curves. Dusa has received numerous prizes and recognitions for her work. Browse the amazon editors picks for the best books of 2019, featuring our favorite. I am having trouble finding a good resource of exercises on symplectic geometry. I would describe dusa mcduff as a very dynamic person with an amazing energy, broad interests, very wide knowledge, many original ideas, and deep insights, says dietmar salamon, a professor of mathematics at eth zurich, who has collaborated with mcduff since 1990 when she attended a symplectic geometry conference at the university of. The book virtual fundamental cycles in symplectic topology can be considered extended lecture notes on pseudoholomorphic curves and it helps deepen understanding of the different approaches to the basics of the virtual fundamental chain and cycle theory in symplectic geometry. Can be used as an introductory textbook for graduate students or mature mathematicians who are interested in symplectic topology but are as yet unfamiliar with the subject.
Among her many honors, dusa mcduff is a member of the national academy of sciences, a fellow of the ams, and a 2017 recipient the amss leroy p. In this article we explain the elements of symplectic geometry, and sketch the proof of one of its foundational results gromovs nonsqueezing theorem using jholomorphic curves. Jholomorphic curves and symplectic topology dusa mcduff. Dusa mcduff is a mathematician who brought symplectic geometry to the attention of the mathematical world. Introduction to symplectic topology dusa mcduff, dietmar. Buy introduction to symplectic topology oxford mathematical monographs on. Buy introduction to symplectic topology oxford graduate texts in mathematics 3 by mcduff, dusa, salamon, dietmar isbn. There are two long chapters on applications, one concentrating on classical results in symplectic topology and the other concerned with quantum cohomology. Over the last number of years powerful new methods in. A section has been included on new developments in the subject, and there is a more extensive discussion of taubes and donaldsons recent contributions to the subject.
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