Symplectic And Poisson Geometry On Loop Spaces Of Smooth Manifolds And Integrable Equations
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Symplectic And Poisson Geometry On Loop Spaces Of Smooth Manifolds And Integrable Equations
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Author : O. I. Mokhov
language : en
Publisher:
Release Date : 2008-11
Symplectic And Poisson Geometry On Loop Spaces Of Smooth Manifolds And Integrable Equations written by O. I. Mokhov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11 with Mathematics categories.
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.
The Geometry Of Infinite Dimensional Groups
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Author : Boris Khesin
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-28
The Geometry Of Infinite Dimensional Groups written by Boris Khesin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-28 with Mathematics categories.
This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.
Topics In Topology And Mathematical Physics
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Author : Sergeĭ Petrovich Novikov
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Topics In Topology And Mathematical Physics written by Sergeĭ Petrovich Novikov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematical physics categories.
Geometry Topology And Mathematical Physics
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Author : V. M. Buchstaber
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-01-01
Geometry Topology And Mathematical Physics written by V. M. Buchstaber and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
This volume contains a selection of papers based on presentations given in 2006-2007 at the S. P. Novikov Seminar at the Steklov Mathematical Institute in Moscow. Novikov's diverse interests are reflected in the topics presented in the book. The articles address topics in geometry, topology, and mathematical physics. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.
Introduction To The Theory Of
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Author : Vasyl Ostrovskyi
language : en
Publisher: CRC Press
Release Date : 2004-11-11
Introduction To The Theory Of written by Vasyl Ostrovskyi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-11 with Mathematics categories.
Provides the fundamentals of representations of finitely presented *-algebras by bounded operators. The theory is illustrated with numerous examples of *-algebra. The examples, in particular, include *-algebra with two self-adjoint generators that satisfy a quadratic or a more general relation, *-algebra with three or four generators, *-algebra that arise from one- and many-dimensional discrete dynamical systems. Wick *-algebra various; *-wild algebras. This book is intended for graduate students as well as researchers.
Integrability Quantization And Geometry I Integrable Systems
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Author : Sergey Novikov
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-04-12
Integrability Quantization And Geometry I Integrable Systems written by Sergey Novikov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-12 with Education categories.
This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.
Geometric Methods In Physics Xxxv
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Author : Piotr Kielanowski
language : en
Publisher: Birkhäuser
Release Date : 2018-02-10
Geometric Methods In Physics Xxxv written by Piotr Kielanowski and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-10 with Mathematics categories.
This book features a selection of articles based on the XXXV Białowieża Workshop on Geometric Methods in Physics, 2016. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, and with applications to classical and quantum physics. In 2016 the special session "Integrability and Geometry" in particular attracted pioneers and leading specialists in the field. Traditionally, the Białowieża Workshop is followed by a School on Geometry and Physics, for advanced graduate students and early-career researchers, and the book also includes extended abstracts of the lecture series.
Reviews In Mathematics And Mathematical Physics
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Author :
language : en
Publisher:
Release Date : 2001
Reviews In Mathematics And Mathematical Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematical physics categories.
Geometry From The Pacific Rim
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Author : A. Jon Berrick
language : en
Publisher: Walter de Gruyter
Release Date : 2011-07-20
Geometry From The Pacific Rim written by A. Jon Berrick and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-20 with Mathematics categories.
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Lectures On Symplectic Geometry
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Author : Ana Cannas da Silva
language : en
Publisher: Springer
Release Date : 2004-10-27
Lectures On Symplectic Geometry written by Ana Cannas da Silva and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-27 with Mathematics categories.
The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.