ENGLISH

Künneth Geometry - Symplectic Manifolds and their Lagrangian Foliations

By D. Kotschick , M. J. D. Hamilton

Book information

Publisher
Cambridge University Press
Year
2023
ISBN
9781108830713, 9781108902977, 9781108828758
DOI
10.1017/9781108902977
Language
english
Format
PDF
Filesize
2 MB (2490176 bytes)
Series
London Mathematical Society Student Texts 108
Edition
1
Pages
192\201
Orientation
yes
Paginated
no
Scanned
portrait
Time added
2024-06-29 11:42:55
FoliationsKünneth StructuresSymplectic geometry

Description

This clear and elegant text introduces Künneth, 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 Künneth 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.

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