Kunneth Geometry: Symplectic Manifolds and their Lagrangian Foliations

Künneth, or bi-Lagrangian, geometry is developed from the foundations up, including a systematic development of Lagrangian foliations and a discussion of Künneth geometry from the point of view of basic differential topology. It is a reference work for researchers and an invitation for graduate students to explore this field, with open problems included for future research.

Format: Paperback / softback
Length: 200 pages
Publication date: 21 December 2023
Publisher: Cambridge University Press

Künneth, or bi-Lagrangian, geometry is a fascinating branch of mathematics that provides a comprehensive introduction to the subject, suitable for undergraduate students and researchers alike. This clear and elegant text begins by providing a rapid introduction to symplectic geometry, a fundamental concept in the study of Lagrangian foliations. Unlike other books on this topic, Künneth Geometry goes beyond mere exposition and systematically develops the foundations of Lagrangian foliations.

In the latter half of the text, the author delves into Künneth geometry from the perspective of basic differential topology. This approach offers a fresh and insightful perspective, presenting both new expositions of standard material and innovative concepts that have not been previously explored in book form. The author takes a step-by-step approach, building the subject from the ground up, without assuming any prior knowledge of pseudo-Riemannian or para-complex geometry.

Künneth geometry has numerous interesting applications and connections to physics, making it a field of intense research. This book serves as a valuable reference work for researchers, providing comprehensive coverage of the subject matter. Additionally, it serves as an invitation for graduate students to explore this field, with open problems included as inspiration for future research endeavors.

In conclusion, Künneth Geometry is a must-read for anyone interested in the study of Lagrangian foliations, differential topology, and mathematics in general. Its clear and concise writing style, coupled with its systematic development of the foundations, makes it accessible to a wide range of readers. Whether you are a student or a professional in the field, this book will provide you with valuable insights and knowledge.

Weight: 314g
Dimension: 152 x 228 x 16 (mm)
ISBN-13: 9781108828758