Differential Geometry of Singular Spaces and Reduction of Symmetry

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Publisher : Cambridge University Press
ISBN 13 : 1107022711
Total Pages : 249 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Differential Geometry of Singular Spaces and Reduction of Symmetry by : Jędrzej Śniatycki

Download or read book Differential Geometry of Singular Spaces and Reduction of Symmetry written by Jędrzej Śniatycki and published by Cambridge University Press. This book was released on 2013-06-13 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher :
ISBN 13 : 9781107055599
Total Pages : 250 pages
Book Rating : 4.0/5 (555 download)

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Book Synopsis Differential Geometry of Singular Spaces and Reduction of Symmetry by : Jędrzej Śniatycki

Download or read book Differential Geometry of Singular Spaces and Reduction of Symmetry written by Jędrzej Śniatycki and published by . This book was released on 2014-05-14 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : Cambridge University Press
ISBN 13 : 1107067383
Total Pages : 249 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Differential Geometry of Singular Spaces and Reduction of Symmetry by : J. Śniatycki

Download or read book Differential Geometry of Singular Spaces and Reduction of Symmetry written by J. Śniatycki and published by Cambridge University Press. This book was released on 2013-06-13 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and Symmetric Spaces

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Publisher : Academic Press
ISBN 13 : 9780080873244
Total Pages : 485 pages
Book Rating : 4.8/5 (732 download)

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Book Synopsis Differential Geometry and Symmetric Spaces by :

Download or read book Differential Geometry and Symmetric Spaces written by and published by Academic Press. This book was released on 1962-01-01 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Geometry and Symmetric Spaces

Reduction Theory and Arithmetic Groups

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Publisher : Cambridge University Press
ISBN 13 : 1108935079
Total Pages : 376 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Reduction Theory and Arithmetic Groups by : Joachim Schwermer

Download or read book Reduction Theory and Arithmetic Groups written by Joachim Schwermer and published by Cambridge University Press. This book was released on 2022-12-15 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic groups are generalisations, to the setting of algebraic groups over a global field, of the subgroups of finite index in the general linear group with entries in the ring of integers of an algebraic number field. They are rich, diverse structures and they arise in many areas of study. This text enables you to build a solid, rigorous foundation in the subject. It first develops essential geometric and number theoretical components to the investigations of arithmetic groups, and then examines a number of different themes, including reduction theory, (semi)-stable lattices, arithmetic groups in forms of the special linear group, unipotent groups and tori, and reduction theory for adelic coset spaces. Also included is a thorough treatment of the construction of geometric cycles in arithmetically defined locally symmetric spaces, and some associated cohomological questions. Written by a renowned expert, this book is a valuable reference for researchers and graduate students.

Singular Intersection Homology

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Publisher : Cambridge University Press
ISBN 13 : 1107150744
Total Pages : 823 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Singular Intersection Homology by : Greg Friedman

Download or read book Singular Intersection Homology written by Greg Friedman and published by Cambridge University Press. This book was released on 2020-09-24 with total page 823 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first expository book-length introduction to intersection homology from the viewpoint of singular and piecewise linear chains.

Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems

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Publisher : American Mathematical Society
ISBN 13 : 147046439X
Total Pages : 102 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems by : Tudor S. Ratiu

Download or read book Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems written by Tudor S. Ratiu and published by American Mathematical Society. This book was released on 2023-07-31 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Differential Geometry, Lie Groups, and Symmetric Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821828487
Total Pages : 682 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Differential Geometry, Lie Groups, and Symmetric Spaces by : Sigurdur Helgason

Download or read book Differential Geometry, Lie Groups, and Symmetric Spaces written by Sigurdur Helgason and published by American Mathematical Soc.. This book was released on 2001-06-12 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: A great book ... a necessary item in any mathematical library. --S. S. Chern, University of California A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics. --Barrett O'Neill, University of California This is obviously a very valuable and well thought-out book on an important subject. --Andre Weil, Institute for Advanced Study The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur Helgason's classic Differential Geometry, Lie Groups, and Symmetric Spaces has been--and continues to be--the standard source for this material. Helgason begins with a concise, self-contained introduction to differential geometry. Next is a careful treatment of the foundations of the theory of Lie groups, presented in a manner that since 1962 has served as a model to a number of subsequent authors. This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The text concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $\mathbb{C}$ and Cartan's classification of simple Lie algebras over $\mathbb{R}$, following a method of Victor Kac. The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All of the problems have either solutions or substantial hints, found at the back of the book. For this edition, the author has made corrections and added helpful notes and useful references. Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis.

Potential Theory and Geometry on Lie Groups

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Publisher : Cambridge University Press
ISBN 13 : 1107036496
Total Pages : 625 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Potential Theory and Geometry on Lie Groups by : N. Th. Varopoulos

Download or read book Potential Theory and Geometry on Lie Groups written by N. Th. Varopoulos and published by Cambridge University Press. This book was released on 2020-10-22 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complete account of a new classification of connected Lie groups in two classes, including open problems to motivate further study.

Global Aspects of Classical Integrable Systems

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Publisher : Birkhäuser
ISBN 13 : 3034809182
Total Pages : 477 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Global Aspects of Classical Integrable Systems by : Richard H. Cushman

Download or read book Global Aspects of Classical Integrable Systems written by Richard H. Cushman and published by Birkhäuser. This book was released on 2015-06-01 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in the spherical pendulum and the Lagrange top. Also the monodromy obstruction to the existence of global action angle coordinates is calculated for the spherical pendulum and the Lagrange top. The book addresses professional mathematicians and graduate students and can be used as a textbook on advanced classical mechanics or global analysis.

Spectral Spaces

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Publisher : Cambridge University Press
ISBN 13 : 1107146720
Total Pages : 652 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Spectral Spaces by : Max Dickmann

Download or read book Spectral Spaces written by Max Dickmann and published by Cambridge University Press. This book was released on 2019-03-21 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.

Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves

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Publisher : Cambridge University Press
ISBN 13 : 1316381145
Total Pages : 421 pages
Book Rating : 4.3/5 (163 download)

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Book Synopsis Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves by : Yong-Geun Oh

Download or read book Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves written by Yong-Geun Oh and published by Cambridge University Press. This book was released on 2015-08-27 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 1 covers the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. One novel aspect of this treatment is the uniform treatment of both closed and open cases and a complete proof of the boundary regularity theorem of weak solutions of pseudo-holomorphic curves with totally real boundary conditions. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.

Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem

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Publisher : Cambridge University Press
ISBN 13 : 1108831443
Total Pages : 881 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem by : Michael A. Hill

Download or read book Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem written by Michael A. Hill and published by Cambridge University Press. This book was released on 2021-07-29 with total page 881 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete and definitive account of the authors' resolution of the Kervaire invariant problem in stable homotopy theory.

Dirichlet Series and Holomorphic Functions in High Dimensions

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Publisher : Cambridge University Press
ISBN 13 : 1108755763
Total Pages : 710 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Dirichlet Series and Holomorphic Functions in High Dimensions by : Andreas Defant

Download or read book Dirichlet Series and Holomorphic Functions in High Dimensions written by Andreas Defant and published by Cambridge University Press. This book was released on 2019-08-08 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 100 years ago Harald Bohr identified a deep problem about the convergence of Dirichlet series, and introduced an ingenious idea relating Dirichlet series and holomorphic functions in high dimensions. Elaborating on this work, almost twnety years later Bohnenblust and Hille solved the problem posed by Bohr. In recent years there has been a substantial revival of interest in the research area opened up by these early contributions. This involves the intertwining of the classical work with modern functional analysis, harmonic analysis, infinite dimensional holomorphy and probability theory as well as analytic number theory. New challenging research problems have crystallized and been solved in recent decades. The goal of this book is to describe in detail some of the key elements of this new research area to a wide audience. The approach is based on three pillars: Dirichlet series, infinite dimensional holomorphy and harmonic analysis.

Representations of Solvable Lie Groups and their Applications

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Publisher : Cambridge University Press
ISBN 13 : 1108428096
Total Pages : 463 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Representations of Solvable Lie Groups and their Applications by : Didier Arnal

Download or read book Representations of Solvable Lie Groups and their Applications written by Didier Arnal and published by Cambridge University Press. This book was released on 2020-04-16 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete and self-contained account of the basic theory of unitary group representations for graduate students and researchers.

Hardy Martingales

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Publisher : Cambridge University Press
ISBN 13 : 1108985963
Total Pages : pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Hardy Martingales by : Paul F. X. Müller

Download or read book Hardy Martingales written by Paul F. X. Müller and published by Cambridge University Press. This book was released on 2022-07-14 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the probabilistic methods around Hardy martingales for an audience interested in their applications to complex, harmonic, and functional analysis. Building on work of Bourgain, Garling, Jones, Maurey, Pisier, and Varopoulos, it discusses in detail those martingale spaces that reflect characteristic qualities of complex analytic functions. Its particular themes are holomorphic random variables on Wiener space, and Hardy martingales on the infinite torus product, and numerous deep applications to the geometry and classification of complex Banach spaces, e.g., the SL∞ estimates for Doob's projection operator, the embedding of L1 into L1/H1, the isomorphic classification theorem for the polydisk algebras, or the real variables characterization of Banach spaces with the analytic Radon Nikodym property. Due to the inclusion of key background material on stochastic analysis and Banach space theory, it's suitable for a wide spectrum of researchers and graduate students working in classical and functional analysis.

Factorization Algebras in Quantum Field Theory

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Publisher : Cambridge University Press
ISBN 13 : 1107163153
Total Pages : 417 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Factorization Algebras in Quantum Field Theory by : Kevin Costello

Download or read book Factorization Algebras in Quantum Field Theory written by Kevin Costello and published by Cambridge University Press. This book was released on 2021-09-23 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume shows how factorization algebras arise from interacting field theories, both classical and quantum.