Pseudoholomorphic curves are used as a tool in the fourdimensional symplectic topology, the. At its publication inintroduction to symplectic topology was the first comprehensive introduction to the subject, and has since become an established text in this fastdeveloping area of mathematics. The book was the first comprehensive introduction to the subject and became a key text in the area. Introduction to symplectic topology oxford graduate texts. 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.
Introduction to symplectic topology oxford scholarship. Introduction to symplectic topology dusa mcduff, dietmar. Symplectic topology and capacities1 talk given in princeton to celebrate the 250th anniversary of the founding of the university. Introduction to symplectic topology hardcover dusa. Published in journal of symplectic topology, vol 3 2005, 481530. Symplectic topology today joint mathematics meetings.
Gromovs theorem, together with mcduffs extension can be reformulated as follows. Salamon erratum to jholomorphic curves and symplectic topology ams 2004, last edited 21 april 2008, available in pdf. An introduction to symplectic topology through sheaf theory princeton, fall 2010new york,spring2011 c. 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.
Tolman on nearly semifree circle actions, sg0503467 available in pdf. Survey articles from the nineties symplectic structures a new approach to geometry. The first edition of introduction to symplectic topology was published in 1995. 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. Over the past number of years powerful new methods in analysis and topology have led to the development of the. Symplectic structures a new approach to geometry dusa mcduff introduction symplectic geometry is the geometry of a closed skewsymmetric form. 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. Cambridge core geometry and topology symplectic topology and floer homology by yonggeun oh. This second editionhas been significantly revised and expanded, with new references and examples added and theorems included or revised. It turns out to be very different from the riemannian geometry with which. Symplectic topology and floer homology by yonggeun oh. Twenty years ago symplectic topology did not exist. Enlarging the hamiltonian group, sg0503268 available in pdf.
Symplectic topology and capacities1 stony brook mathematics. An introduction to symplectic topology through sheaf theory. There are two kinds of geometric subobjects in a symplectic manifolds, hypersurfaces and. Dusa mcduff and dietmar salamon oxford graduate texts in mathematics.