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The Breadth of Symplectic and Poisson Geometry

Author: Jerrold E. Marsden

Publisher: Springer Science & Business Media

Published: 2007-07-03

Total Pages: 666

ISBN-13: 0817644199

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* The invited papers in this volume are written in honor of Alan Weinstein, one of the world’s foremost geometers * Contributions cover a broad range of topics in symplectic and differential geometry, Lie theory, mechanics, and related fields * Intended for graduate students and working mathematicians, this text is a distillation of prominent research and an indication of future trends in geometry, mechanics, and mathematical physics

Book Synopsis The Breadth of Symplectic and Poisson Geometry by : Jerrold E. Marsden

Download or read book The Breadth of Symplectic and Poisson Geometry written by Jerrold E. Marsden and published by Springer Science & Business Media. This book was released on 2007-07-03 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: * The invited papers in this volume are written in honor of Alan Weinstein, one of the world’s foremost geometers * Contributions cover a broad range of topics in symplectic and differential geometry, Lie theory, mechanics, and related fields * Intended for graduate students and working mathematicians, this text is a distillation of prominent research and an indication of future trends in geometry, mechanics, and mathematical physics

The Breadth of Symplectic and Poisson Geometry

Author: Birkhauser Verlag AG

Publisher:

Published: 2005

Total Pages:

ISBN-13: 9783764335656

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Book Synopsis The Breadth of Symplectic and Poisson Geometry by : Birkhauser Verlag AG

Download or read book The Breadth of Symplectic and Poisson Geometry written by Birkhauser Verlag AG and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Poisson Geometry in Mathematics and Physics

Author: Giuseppe Dito

Publisher: American Mathematical Soc.

Published: 2008

Total Pages: 330

ISBN-13: 0821844237

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This volume is a collection of articles by speakers at the Poisson 2006 conference. The program for Poisson 2006 was an overlap of topics that included deformation quantization, generalized complex structures, differentiable stacks, normal forms, and group-valued moment maps and reduction.

Book Synopsis Poisson Geometry in Mathematics and Physics by : Giuseppe Dito

Download or read book Poisson Geometry in Mathematics and Physics written by Giuseppe Dito and published by American Mathematical Soc.. This book was released on 2008 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of articles by speakers at the Poisson 2006 conference. The program for Poisson 2006 was an overlap of topics that included deformation quantization, generalized complex structures, differentiable stacks, normal forms, and group-valued moment maps and reduction.

Lectures on Poisson Geometry

Author: Marius Crainic

Publisher: American Mathematical Soc.

Published: 2021-10-14

Total Pages: 479

ISBN-13: 1470466678

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This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way. —Alan Weinstein, University of California at Berkeley This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study. —Eckhard Meinrenken, University of Toronto

Book Synopsis Lectures on Poisson Geometry by : Marius Crainic

Download or read book Lectures on Poisson Geometry written by Marius Crainic and published by American Mathematical Soc.. This book was released on 2021-10-14 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way. —Alan Weinstein, University of California at Berkeley This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study. —Eckhard Meinrenken, University of Toronto

Lectures on Poisson Geometry

Author: Marius Crainic

Publisher:

Published: 1900

Total Pages:

ISBN-13: 9781470466664

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Book Synopsis Lectures on Poisson Geometry by : Marius Crainic

Download or read book Lectures on Poisson Geometry written by Marius Crainic and published by . This book was released on 1900 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way.--Alan Weinstein, University of California at BerkeleyThis well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics.

Symplectic and Poisson Geometry on Loop Spaces of Smooth Manifolds and Integrable Equations

Author: O. I. Mokhov

Publisher:

Published: 2008-11

Total Pages: 224

ISBN-13: 9781904868729

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This review presents the differential-geometric theory of homogeneous structures (mainly Poisson and symplectic structures)on loop spaces of smooth manifolds, their natural generalizations and applications in mathematical physics and field theory.

Book Synopsis Symplectic and Poisson Geometry on Loop Spaces of Smooth Manifolds and Integrable Equations by : O. I. Mokhov

Download or read book Symplectic and Poisson Geometry on Loop Spaces of Smooth Manifolds and Integrable Equations written by O. I. Mokhov and published by . This book was released on 2008-11 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review presents the differential-geometric theory of homogeneous structures (mainly Poisson and symplectic structures)on loop spaces of smooth manifolds, their natural generalizations and applications in mathematical physics and field theory.

Symplectic, Poisson, and Noncommutative Geometry

Author: Tohru Eguchi

Publisher: Cambridge University Press

Published: 2014-08-25

Total Pages: 303

ISBN-13: 1107056411

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This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute.

Book Synopsis Symplectic, Poisson, and Noncommutative Geometry by : Tohru Eguchi

Download or read book Symplectic, Poisson, and Noncommutative Geometry written by Tohru Eguchi and published by Cambridge University Press. This book was released on 2014-08-25 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute.

Coherent Transform, Quantization and Poisson Geometry

Author: Mikhail Vladimirovich Karasev

Publisher: American Mathematical Soc.

Published: 1998

Total Pages: 376

ISBN-13: 9780821811788

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This volume copntains three extensive articles written by Karasev and his pupils. Topics covered include the following: coherent states and irreducible representations for algebras with non-Lie permutation relations, Hamilton dynamics and quantization over stable isotropic submanifolds, and infinitesimal tensor complexes over degenerate symplectic leaves in Poisson manifolds. The articles contain many examples (including from physics) and complete proofs.

Book Synopsis Coherent Transform, Quantization and Poisson Geometry by : Mikhail Vladimirovich Karasev

Download or read book Coherent Transform, Quantization and Poisson Geometry written by Mikhail Vladimirovich Karasev and published by American Mathematical Soc.. This book was released on 1998 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume copntains three extensive articles written by Karasev and his pupils. Topics covered include the following: coherent states and irreducible representations for algebras with non-Lie permutation relations, Hamilton dynamics and quantization over stable isotropic submanifolds, and infinitesimal tensor complexes over degenerate symplectic leaves in Poisson manifolds. The articles contain many examples (including from physics) and complete proofs.

Poisson Geometry, Deformation Quantisation and Group Representations

Author: Simone Gutt

Publisher: Cambridge University Press

Published: 2005-06-21

Total Pages: 380

ISBN-13: 9780521615051

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An accessible introduction to Poisson geometry suitable for graduate students.

Book Synopsis Poisson Geometry, Deformation Quantisation and Group Representations by : Simone Gutt

Download or read book Poisson Geometry, Deformation Quantisation and Group Representations written by Simone Gutt and published by Cambridge University Press. This book was released on 2005-06-21 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to Poisson geometry suitable for graduate students.

Introduction to Symplectic Geometry

Author: Jean-Louis Koszul

Publisher: Springer

Published: 2019-04-15

Total Pages: 121

ISBN-13: 9811339872

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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.

Book Synopsis Introduction to Symplectic Geometry by : Jean-Louis Koszul

Download or read book Introduction to Symplectic Geometry written by Jean-Louis Koszul and published by Springer. This book was released on 2019-04-15 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.