Advances in Geometry and Mathematical Physics: Lectures given at the Geometry and Topology conference at Harvard University in 2014, Huai-Dong Cao, Shing-Tung Yau

Автор: Bengtsson Ingemar
Название: Geometry of Quantum States
ISBN: 1107026253 ISBN-13(EAN): 9781107026254
Издательство: Cambridge Academ
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Цена: 91860.00 T
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Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.

Автор: Kashiwara
Название: Regular and Irregular Holonomic D-Modules
ISBN: 1316613453 ISBN-13(EAN): 9781316613450
Издательство: Cambridge Academ
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Цена: 55970.00 T
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Описание: The theory of D-modules applies to many areas, including linear PDEs, group representation, algebraic geometry and mathematical physics. This book is the first devoted specifically to the most important variety, holonomic D-modules. It provides a complete unified treatment of the theory of holonomic D-modules, both regular and irregular.

Автор: Pietro Giuseppe Fre, Alexander Fedotov
Название: Groups and Manifolds: Lectures for Physicists with Examples in Mathematica
ISBN: 3110551195 ISBN-13(EAN): 9783110551198
Издательство: Walter de Gruyter
Цена: 99110.00 T
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Описание: Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional Lie algebras and a rich collection of MATHEMATICA Notebooks implementing various group theoretical constructions.

Автор: Huai-Dong Cao, Jun Li, Richard M. Schoen, Shing Tung Yau
Название: Celebrating the 50th Anniversary of the Journal of Differential Geometry: Lectures given at the Geometry and Topology Conference at Harvard University in 2017
ISBN: 1571463615 ISBN-13(EAN): 9781571463616
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: In 1967, C.-C. Hsiung had the vision to form the Journal of Differential Geometry (JDG) - a journal dedicated to geometry alone. On the journal`s fiftieth anniversary in 2017, a distinguished group of geometers gathered to present their papers at the annual JDG geometry and topology conference. This volume presents several of those papers.

Автор: Eisenbud
Название: 3264 and All That
ISBN: 1107602726 ISBN-13(EAN): 9781107602724
Издательство: Cambridge Academ
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Цена: 49630.00 T
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Описание: This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique so that the student develops the ability to solve geometric problems. It also contains abundant examples, exercises and solutions.

Автор: Rudolph Gerd, Schmidt Matthias
Название: Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields
ISBN: 9402414495 ISBN-13(EAN): 9789402414493
Издательство: Springer
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Цена: 232910.00 T
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Описание: Fibre bundles and connections.- Linear connections and Riemannian geometry.- Homotopy theory of principal fibre bundles. Classification.- Cohomology theory of fibre bundles. Characteristic classes.- Clifford algebras, spin structures and Dirac operators.- The Yang-Mills equation.- Matter fields and model building.- The gauge orbit space.- Elements of quantum gauge theory.- A Field restriction and field extension.- B The Conformal Group of the 4-sphere.- C Simple Lie algebras. Root diagrams.- D z -function regularization.- E K-theory and index bundles.- F Determinant line bundles.- G Eilenberg-MacLane spaces.- References. Index.

Автор: Andreas Malmendier, Tony Shaska
Название: Higher Genus Curves in Mathematical Physics and Arithmetic Geometry
ISBN: 1470428563 ISBN-13(EAN): 9781470428563
Издательство: Mare Nostrum (Eurospan)
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Цена: 116430.00 T
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Описание: Contains the proceedings of the AMS Special Session on Higher Genus Curves and Fibrations in Mathematical Physics and Arithmetic Geometry, held in January 2016. The articles investigate the automorphism groups of curves and superelliptic curves and results regarding integral points on curves and their applications in mirror symmetry.

Автор: David Ayala, Daniel S. Freed, Ryan E. Grady
Название: Topology and Quantum Theory in Interaction
ISBN: 1470442434 ISBN-13(EAN): 9781470442439
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: This volume contains the proceedings of the NSF-CBMS Regional Conference on Topological and Geometric Methods in QFT, held from July 31-August 4, 2017, at Montana State University in Bozeman, Montana.In recent decades, there has been a movement to axiomatize quantum field theory into a mathematical structure. In a different direction, one can ask to test these axiom systems against physics. Can they be used to rederive known facts about quantum theories or, better yet, be the framework in which to solve open problems? Recently, Freed and Hopkins have provided a solution to a classification problem in condensed matter theory, which is ultimately based on the field theory axioms of Graeme Segal.Papers contained in this volume amplify various aspects of the Freed-Hopkins program, develop some category theory, which lies behind the cobordism hypothesis, the major structure theorem for topological field theories, and relate to Costello's approach to perturbative quantum field theory. Two papers on the latter use this framework to recover fundamental results about some physical theories: two-dimensional sigma-models and the bosonic string. Perhaps it is surprising that such sparse axiom systems encode enough structure to prove important results in physics. These successes can be taken as encouragement that the axiom systems are at least on the right track toward articulating what a quantum field theory is.

Автор: Michael Baake, Uwe Grimm
Название: Aperiodic Order: Volume 2, Crystallography and Almost Periodicity
ISBN: 0521869927 ISBN-13(EAN): 9780521869928
Издательство: Cambridge Academ
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Цена: 141510.00 T
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Описание: The second volume in this series exploring the mathematics of Aperiodic Order begins to develop the theory in more depth. A collection of leading experts cover various aspects of crystallography with a strong focus on almost periodicity and its close links to Fourier analysis.

Автор: Sergei Gukov, Mikhail Khovanov, Johannes Walcher
Название: Physics and Mathematics of Link Homology
ISBN: 1470414597 ISBN-13(EAN): 9781470414597
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: Throughout recent history, the theory of knot invariants has been a fascinating melting pot of ideas and scientific cultures, blending mathematics and physics, geometry, topology and algebra, gauge theory, and quantum gravity.The 2013 Seminaire de Mathematiques Superieures in Montreal presented an opportunity for the next generation of scientists to learn in one place about the various perspectives on knot homology, from the mathematical background to the most recent developments, and provided an access point to the relevant parts of theoretical physics as well.This volume presents a cross-section of topics covered at that summer school and will be a valuable resource for graduate students and researchers wishing to learn about this rapidly growing field.

Автор: Huybrechts
Название: Lectures on K3 Surfaces
ISBN: 1107153042 ISBN-13(EAN): 9781107153042
Издательство: Cambridge Academ
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Цена: 66530.00 T
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Описание: K3 surfaces are central objects in mathematics and connect to string theory in physics. By studying the many rich aspects of these surfaces, this book surveys powerful techniques in algebraic geometry. Working from the basics to recent breakthroughs, it is suitable as a graduate text and reference for researchers.

Автор: Sen Siddhartha, Gupta Kumar Sankar
Название: Many-Body Physics, Topology and Geometry
ISBN: 9814678163 ISBN-13(EAN): 9789814678162
Издательство: World Scientific Publishing
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Цена: 61250.00 T
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Описание: The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics.