Products Of G Supermanifolds And Super Vector Bundles
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Products Of G Supermanifolds And Super Vector Bundles
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Author : C. Bartocci
language : en
Publisher:
Release Date : 1989
Products Of G Supermanifolds And Super Vector Bundles written by C. Bartocci and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Supermanifolds And Supergroups
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Author : Gijs M. Tuynman
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-20
Supermanifolds And Supergroups written by Gijs M. Tuynman 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 2006-01-20 with Mathematics categories.
Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. When discussing the tangent bundle, integration of vector fields is treated as well as the machinery of differential forms. For super Lie groups the standard results are shown, including the construction of a super Lie group for any super Lie algebra. The last chapter is entirely devoted to super connections. The book requires standard undergraduate knowledge on super differential geometry and super Lie groups.
The Geometry Of Supermanifolds
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Author : C. Bartocci
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Geometry Of Supermanifolds written by C. Bartocci 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 2012-12-06 with Mathematics categories.
'Et moi ... - si favait III mmment en revenir, One service mathematics has rendered the je n'y serais point aile:' human race. It has put CXlUImon sense back Iules Verne where it belongs. on the topmost shelf next to the dUlty canister lahelled 'discarded non- The series i. divergent; therefore we may be able to do something with it. Eric T. Bell O. Hesvi.ide Mathematics is a tool for thOUght. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d't!tre of this series.
Supermanifolds Theory And Applications
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Author : Alice Rogers
language : en
Publisher: World Scientific
Release Date : 2007-04-18
Supermanifolds Theory And Applications written by Alice Rogers and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-18 with Science categories.
This book aims to fill the gap in the available literature on supermanifolds, describing the different approaches to supermanifolds together with various applications to physics, including some which rely on the more mathematical aspects of supermanifold theory.The first part of the book contains a full introduction to the theory of supermanifolds, comparing and contrasting the different approaches that exist. Topics covered include tensors on supermanifolds, super fibre bundles, super Lie groups and integration theory.Later chapters emphasise applications, including the superspace approach to supersymmetric theories, super Riemann surfaces and the spinning string, path integration on supermanifolds and BRST quantization.
Supermanifolds
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Author : Bryce Seligman DeWitt
language : en
Publisher: Cambridge University Press
Release Date : 1992-05-28
Supermanifolds written by Bryce Seligman DeWitt 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 1992-05-28 with Mathematics categories.
This updated and expanded second edition of an established text presents a detailed exposition of the modern theory of supermanifolds, including a rigorous account of the superanalogs of all the basic structures of ordinary manifold theory.
Supermanifolds And Supergroups
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Author : Gijs M. Tuynman
language : en
Publisher: Springer
Release Date : 2009-09-03
Supermanifolds And Supergroups written by Gijs M. Tuynman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-03 with Mathematics categories.
Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. When discussing the tangent bundle, integration of vector fields is treated as well as the machinery of differential forms. For super Lie groups the standard results are shown, including the construction of a super Lie group for any super Lie algebra. The last chapter is entirely devoted to super connections. The book requires standard undergraduate knowledge on super differential geometry and super Lie groups.
Supermanifolds
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Author : Bryce Dewitt
language : en
Publisher: CUP Archive
Release Date : 1984
Supermanifolds written by Bryce Dewitt and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Science categories.
This book presents a detailed exposition of the modern theory of supermanifolds, including a rigorous account of the super-analogs of all the basic structures of ordinary manifold theory. The exposition opens with the theory of analysis over supernumbers (Grassmann variables), Berezin integration, supervector spaces and the superdeterminant. This basic material is then applied to the theory of supermanifolds, with an account of the super-analog of Lie derivatives, connections, metrics, curvature, geodesics, Killing flows, conformal groups, etc. The book goes on to discuss the theory of super Lie groups, super Lie algebras, and invariant geometrical structures on coset spaces. Complete descriptions are given of all the simple super Lie groups. The final chapter contains an account of the Peierls bracket for superclassical dynamical systems, super Hilbert spaces, path integration for fermionic quantum systems, and simple models of Bose-Fermi supersymmetry. Many exercises are included to supplement the material in the text.
Geometric And Algebraic Topological Methods In Quantum Mechanics
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Author : G. Giachetta
language : en
Publisher: World Scientific
Release Date : 2005
Geometric And Algebraic Topological Methods In Quantum Mechanics written by G. Giachetta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
- The book collects all the advanced methods of quantization in the last decade. - It presents in a compact way all the necessary up to date mathematical tools to be used in studying quantum problems.
Seminar On Supermanifolds
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Author : J. Bernstein
language : en
Publisher:
Release Date : 1987
Seminar On Supermanifolds written by J. Bernstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Connections In Classical And Quantum Field Theory
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Author : Luigi Mangiarotti
language : en
Publisher: World Scientific
Release Date : 2000-04-28
Connections In Classical And Quantum Field Theory written by Luigi Mangiarotti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-28 with Science categories.
Geometrical notions and methods play an important role in both classical and quantum field theory, and a connection is a deep structure which apparently underlies the gauge-theoretical models in field theory and mechanics. This book is an encyclopaedia of modern geometric methods in theoretical physics. It collects together the basic mathematical facts about various types of connections, and provides a detailed exposition of relevant physical applications. It discusses the modern issues concerning the gauge theories of fundamental fields. The authors have tried to give all the necessary mathematical background, thus making the book self-contained.This book should be useful to graduate students, physicists and mathematicians who are interested in the issue of deep interrelations between theoretical physics and geometry.