Kuenneth Geometry
Symplectic Manifolds and their Lagrangian Foliations
Published on 6. December 2023
978-1-108-90561-9 (ISBN)
Description
This clear and elegant text introduces Kuenneth, or bi-Lagrangian, geometry from the foundations up, beginning with a rapid introduction to symplectic geometry at a level suitable for undergraduate students. Unlike other books on this topic, it includes a systematic development of the foundations of Lagrangian foliations. The latter half of the text discusses Kuenneth geometry from the point of view of basic differential topology, featuring both new expositions of standard material and new material that has not previously appeared in book form. This subject, which has many interesting uses and applications in physics, is developed ab initio, without assuming any previous knowledge of pseudo-Riemannian or para-complex geometry. This book will serve both as a reference work for researchers, and as an invitation for graduate students to explore this field, with open problems included as inspiration for future research.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Illustrations
Worked examples or Exercises
File size
1,54 MB
ISBN-13
978-1-108-90561-9 (9781108905619)
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Schweitzer Classification
Other editions
Additional editions
M. J. D. Hamilton | D. Kotschick
Kuenneth Geometry
Symplectic Manifolds and their Lagrangian Foliations
Book
12/2023
Cambridge University Press
€107.50
Shipment within 15-20 days
M. J. D. Hamilton | D. Kotschick
Kuenneth Geometry
Symplectic Manifolds and their Lagrangian Foliations
Book
12/2023
Cambridge University Press
€38.50
Shipment within 15-20 days
Persons
Content
1. Introduction; 2. Linear algebra and bundle theory; 3. Symplectic geometry; 4. Foliations and connections; 5. Kuenneth structures; 6. The Kuenneth connection; 7. The curvature of a Kuenneth structure; 8. Hypersymplectic geometry; 9. Nilmanifolds; 10. Four-manifolds.
