Differential Geometry Of Singular Spaces And Reduction Of Symmetry

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Differential Geometry Of Singular Spaces And Reduction Of Symmetry
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Author : J. Śniatycki
language : en
Publisher: Cambridge University Press
Release Date : 2013-06-13
Differential Geometry Of Singular Spaces And Reduction Of Symmetry written by J. Śniatycki and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-13 with Mathematics categories.
In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces. Part II presents an effective approach to the reduction of symmetries. Concrete applications covered in the text include reduction of symmetries of Hamiltonian systems, non-holonomically constrained systems, Dirac structures, and the commutation of quantization with reduction for a proper action of the symmetry group. With each application the author provides an introduction to the field in which relevant problems occur. This book will appeal to researchers and graduate students in mathematics and engineering.
Differential Geometry Of Singular Spaces And Reduction Of Symmetry
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Author : Jędrzej Śniatycki
language : en
Publisher:
Release Date : 2014-05-14
Differential Geometry Of Singular Spaces And Reduction Of Symmetry written by Jędrzej Śniatycki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Function spaces categories.
A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.
Differential Geometry Of Singular Spaces And Reduction Of Symmetry
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Author : Jędrzej Śniatycki
language : en
Publisher:
Release Date : 2013
Differential Geometry Of Singular Spaces And Reduction Of Symmetry written by Jędrzej Śniatycki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Electronic books categories.
"In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and the structure of stratified spaces"--
Recent Advances In Diffeologies And Their Applications
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Author : Jean-Pierre Magnot
language : en
Publisher: American Mathematical Society
Release Date : 2024-02-02
Recent Advances In Diffeologies And Their Applications written by Jean-Pierre Magnot and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-02 with Mathematics categories.
This volume contains the proceedings of the AMS-EMS-SMF Special Session on Recent Advances in Diffeologies and Their Applications, held from July 18–20, 2022, at the Université de Grenoble-Alpes, Grenoble, France. The articles present some developments of the theory of diffeologies applied in a broad range of topics, ranging from algebraic topology and higher homotopy theory to integrable systems and optimization in PDE. The geometric framework proposed by diffeologies is known to be one of the most general approaches to problems arising in several areas of mathematics. It can adapt to many contexts without major technical difficulties and produce examples inaccessible by other means, in particular when studying singularities or geometry in infinite dimension. Thanks to this adaptability, diffeologies appear to have become an interesting and useful language for a growing number of mathematicians working in many different fields. Some articles in the volume also illustrate some recent developments of the theory, which makes it even more deep and useful.
Cubical Homotopy Theory
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Author : Brian A. Munson
language : en
Publisher: Cambridge University Press
Release Date : 2015-10-06
Cubical Homotopy Theory written by Brian A. Munson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-06 with Mathematics categories.
A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.
Global Homotopy Theory
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Author : Stefan Schwede
language : en
Publisher: Cambridge University Press
Release Date : 2018-09-06
Global Homotopy Theory written by Stefan Schwede and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-06 with Mathematics categories.
A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.
Discriminant Equations In Diophantine Number Theory
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Author : Jan-Hendrik Evertse
language : en
Publisher: Cambridge University Press
Release Date : 2017
Discriminant Equations In Diophantine Number Theory written by Jan-Hendrik Evertse and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.
The first comprehensive and up-to-date account of discriminant equations and their applications. For graduate students and researchers.
Symplectic Topology And Floer Homology
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Author : Yong-Geun Oh
language : en
Publisher: Cambridge University Press
Release Date : 2015-08-27
Symplectic Topology And Floer Homology written by Yong-Geun Oh and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-27 with Mathematics categories.
The second part of a two-volume set offering a systematic explanation of symplectic topology. This volume provides a comprehensive introduction to Hamiltonian and Lagrangian Floer theory.
Pseudo Reductive Groups
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Author : Brian Conrad
language : en
Publisher: Cambridge University Press
Release Date : 2015-06-04
Pseudo Reductive Groups written by Brian Conrad and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-04 with Mathematics categories.
This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form. This second edition has been revised and updated, with Chapter 9 being completely rewritten via the useful new notion of 'minimal type' for pseudo-reductive groups.
Factorization Algebras In Quantum Field Theory
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Author : Kevin Costello
language : en
Publisher: Cambridge University Press
Release Date : 2017
Factorization Algebras In Quantum Field Theory written by Kevin Costello and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.
This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.