Description
Introduction to Symplectic Geometry, 1st ed. 2019
Authors: Koszul Jean-Louis, Zou Yi Ming
Language: EnglishSubjects for Introduction to Symplectic Geometry:
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Publication date: 04-2019
Support: Print on demand
Support: Print on demand
Description
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This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the differential properties of graded symplectic manifolds of dimensions (0,n). It is a useful reference resource for students and researchers interested in geometry, group theory, analysis and differential equations.This book is also inspiring in the emerging field of Geometric Science of Information, in particular the chapter on Symplectic G-spaces, where Jean-Louis Koszul develops Jean-Marie Souriau's tools related to the non-equivariant case of co-adjoint action on Souriau?s moment map through Souriau?s Cocycle, opening the door to Lie Group Machine Learning with Souriau-Fisher metric.
Some Algebra Basics.- Symplectic Manifolds.- Cotangent Bundles.- Symplectic G-spaces.- Poisson Manifolds.- A Graded Case.
Jean Louis Koszul, born in 1921, was a French Mathematician. He was a member of 2nd generation of Bourbaki, also a member of French Academy of Sciences. Jean-Louis Koszul passed away on January 12th 2018, at the age of 97.
Offers a unique and unified overview of symplectic geometry
Highlights the differential properties of symplectic manifolds
Great interest for the emerging field of "Geometric Science of Information
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