Quantum Riemannian Geometry Of Finite Sets
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Quantum Riemannian Geometry Of Finite Sets
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Author :
language : en
Publisher:
Release Date : 2005
Quantum Riemannian Geometry Of Finite Sets written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Quantum Riemannian Geometry
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Author : Edwin J. Beggs
language : en
Publisher: Springer Nature
Release Date : 2020-01-31
Quantum Riemannian Geometry written by Edwin J. Beggs and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-31 with Science categories.
This book provides a comprehensive account of a modern generalisation of differential geometry in which coordinates need not commute. This requires a reinvention of differential geometry that refers only to the coordinate algebra, now possibly noncommutative, rather than to actual points. Such a theory is needed for the geometry of Hopf algebras or quantum groups, which provide key examples, as well as in physics to model quantum gravity effects in the form of quantum spacetime. The mathematical formalism can be applied to any algebra and includes graph geometry and a Lie theory of finite groups. Even the algebra of 2 x 2 matrices turns out to admit a rich moduli of quantum Riemannian geometries. The approach taken is a `bottom up’ one in which the different layers of geometry are built up in succession, starting from differential forms and proceeding up to the notion of a quantum `Levi-Civita’ bimodule connection, geometric Laplacians and, in some cases, Dirac operators. The book also covers elements of Connes’ approach to the subject coming from cyclic cohomology and spectral triples. Other topics include various other cohomology theories, holomorphic structures and noncommutative D-modules. A unique feature of the book is its constructive approach and its wealth of examples drawn from a large body of literature in mathematical physics, now put on a firm algebraic footing. Including exercises with solutions, it can be used as a textbook for advanced courses as well as a reference for researchers.
Quantum Gravity
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Author : Bertfried Fauser
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-15
Quantum Gravity written by Bertfried Fauser 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 2007-02-15 with Science categories.
This book provides the reader with an overview of the different mathematical attempts to quantize gravity written by leading experts in this field. Also discussed are the possible experimental bounds on quantum gravity effects. The contributions have been strictly refereed and are written in an accessible style. The present volume emerged from the 2nd Blaubeuren Workshop "Mathematical and Physical Aspects of Quantum Gravity".
Hopf Algebras In Noncommutative Geometry And Physics
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Author : Stefaan Caenepeel
language : en
Publisher: CRC Press
Release Date : 2019-05-07
Hopf Algebras In Noncommutative Geometry And Physics written by Stefaan Caenepeel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-07 with Mathematics categories.
This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium. Offering 1155 display equations, this volume contains original research and survey papers as well as contributions from world-renowned algebraists. It focuses on new results in classical Hopf algebras as well as the
Novelties In String Theory Proceedings Of The Johns Hopkins Workshop On Current Problems In Particle Theory 22
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Author : Robert Marnelius
language : en
Publisher: World Scientific
Release Date : 1999-10-05
Novelties In String Theory Proceedings Of The Johns Hopkins Workshop On Current Problems In Particle Theory 22 written by Robert Marnelius and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-05 with categories.
Geometry Of Quantum States
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Author : Ingemar Bengtsson
language : en
Publisher: Cambridge University Press
Release Date : 2017-08-18
Geometry Of Quantum States written by Ingemar Bengtsson 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 2017-08-18 with Mathematics categories.
This new edition describes the space of quantum states and the theory of quantum entanglement from a geometric perspective.
Topics In Complex Analysis Differential Geometry And Methematical Physics Proceedings Of The Third International Workshop On Complex Structures And Vector Fields
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Author : Stancho Dimiev
language : en
Publisher: World Scientific
Release Date : 1997-07-01
Topics In Complex Analysis Differential Geometry And Methematical Physics Proceedings Of The Third International Workshop On Complex Structures And Vector Fields written by Stancho Dimiev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-01 with categories.
The Third International Workshop on Complex Structures and Vector Fields was held to exchange information on current topics in complex analysis, differential geometry and mathematical physics, and to find new subjects in these fields.This volume contains many interesting and important articles in complex analysis (including quaternionic analysis), functional analysis, topology, differential geometry (hermitian geometry, surface theory), and mathematical physics (quantum mechanics, hamilton mechanics).
Introduction To M Bius Differential Geometry
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Author : Udo Hertrich-Jeromin
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-14
Introduction To M Bius Differential Geometry written by Udo Hertrich-Jeromin 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 2003-08-14 with Mathematics categories.
This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere.
International Journal Of Mathematical Combinatorics Volume 2 2009
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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date :
International Journal Of Mathematical Combinatorics Volume 2 2009 written by Linfan Mao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces; Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Other applications of Smarandache multi-space and combinatorics.
Mathematical Combinatorics International Book Series Volume 2 2009
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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date : 2009-09-17
Mathematical Combinatorics International Book Series Volume 2 2009 written by Linfan Mao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-17 with categories.
Papers by many authors about the Smarandache Bol Loops, Smarandachely Precontinuous maps and Preopen Sets, Smarandache quasigroups and loops, Smarandache right inverse, Smarandache bijections, Smarandache permutation(symmetric) group[S-permutation group], Smarandache path k-cover, Smarandache space, Smarandache k-tiling, Smarandachely dominating k-set, Smarandache graphoidal tree (k, d)-cover of a graph, Smarandache k-orientation, Smarandache k-tree, Smarandache k-orientation, Smarandache geometries etc.