McDuff, Dusa, 1945-
Introduction to symplectic topology / Dusa McDuff, Dietmar Salamon. - Third edition. - xi, 623 pages ; 24 cm - Oxford graduate texts in mathematics ; 27 . - Oxford graduate texts in mathematics ; 27. .
Includes bibliographical references (pages 583-610) and index.
[Pt.] I. Foundations -- From classical to modern -- Linear symplectic geometry -- Symplectic manifolds -- Almost complex structures -- [pt.] II. Symplectic manifolds -- Symplectic group actions -- Symplectic fibrations -- Constructing symplectic manifolds -- [pt.] III. Symplectomorphisms -- Area-preserving diffeomorphisms -- Generating functions -- The group of symplectomorphisms -- [pt.] IV. Symplectic invariants -- The Arnold conjecture -- Symplectic capacities -- Questions of existence and uniqueness -- Open problems -- Smooth maps.
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. The first edition of Introduction to Symplectic Topology was published in 1995. The book was the first comprehensive introduction to the subject and became a key text in the area. A significantly revised second edition was published in 1998 introducing new sections and updates on the fast-developing area. This new third edition includes updates and new material to bring the book right up-to-date.--
9780198794899 (hbk) 0198794894 (hbk) 9780198794905 (pbk) 0198794908 (pbk)
2016946840
Symplectic manifolds.
Topology.
Symplectic manifolds.
Topology.
QA649 / .M418 2017
516.36
Introduction to symplectic topology / Dusa McDuff, Dietmar Salamon. - Third edition. - xi, 623 pages ; 24 cm - Oxford graduate texts in mathematics ; 27 . - Oxford graduate texts in mathematics ; 27. .
Includes bibliographical references (pages 583-610) and index.
[Pt.] I. Foundations -- From classical to modern -- Linear symplectic geometry -- Symplectic manifolds -- Almost complex structures -- [pt.] II. Symplectic manifolds -- Symplectic group actions -- Symplectic fibrations -- Constructing symplectic manifolds -- [pt.] III. Symplectomorphisms -- Area-preserving diffeomorphisms -- Generating functions -- The group of symplectomorphisms -- [pt.] IV. Symplectic invariants -- The Arnold conjecture -- Symplectic capacities -- Questions of existence and uniqueness -- Open problems -- Smooth maps.
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. The first edition of Introduction to Symplectic Topology was published in 1995. The book was the first comprehensive introduction to the subject and became a key text in the area. A significantly revised second edition was published in 1998 introducing new sections and updates on the fast-developing area. This new third edition includes updates and new material to bring the book right up-to-date.--
9780198794899 (hbk) 0198794894 (hbk) 9780198794905 (pbk) 0198794908 (pbk)
2016946840
Symplectic manifolds.
Topology.
Symplectic manifolds.
Topology.
QA649 / .M418 2017
516.36
