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Categorification in Geometry, Topology, and Physics, Anna Beliakova, Aaron D. Lauda


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Автор: Anna Beliakova, Aaron D. Lauda
Название:  Categorification in Geometry, Topology, and Physics
ISBN: 9781470428211
Издательство: Mare Nostrum (Eurospan)
Классификация:



ISBN-10: 1470428210
Обложка/Формат: Paperback
Страницы: 268
Вес: 0.42 кг.
Дата издания: 30.03.2017
Серия: Contemporary mathematics
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Algebra,Geometry,Algebraic geometry,Topology
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Поставляется из: Англии
Описание: Focuses on the role categorification plays in geometry, topology, and physics. These articles illustrate many important trends for the field including geometric representation theory, homotopical methods in link homology, interactions between higher representation theory and gauge theory, and double affine Hecke algebra approaches to link homology.

Geometry of Quantum States

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.

Geometry, topology and physics

Автор: Nakahara, M. (department Of Mathematics And Physic
Название: Geometry, topology and physics
ISBN: 0750306068 ISBN-13(EAN): 9780750306065
Издательство: Taylor&Francis
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Цена: 91860.00 T
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Описание: Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. It also demonstrates elaborate concepts of topology and geometry, including fiber bundles, characteristic classes, and index theorems.

Geometric, Algebraic and Topological Methods for Quantum Fie

Автор: Cardona Alexander
Название: Geometric, Algebraic and Topological Methods for Quantum Fie
ISBN: 9814460044 ISBN-13(EAN): 9789814460040
Издательство: World Scientific Publishing
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Цена: 141510.00 T
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Описание: Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at graduate students in physics or mathematics with interests in geometric, algebraic as well as topological methods and their applications to quantum field theory.This volume contains the written notes corresponding to lectures given by experts in the field. They cover current topics of research in a way that is suitable for graduate students of mathematics or physics interested in the recent developments and interactions between geometry, topology and physics. The book also contains contributions by younger participants, displaying the ample range of topics treated in the school. A key feature of the present volume is the provision of a pedagogical presentation of rather advanced topics, in a way which is suitable for both mathematicians and physicists.

Applications of Contact Geometry and Topology in Physics

Автор: Kholodenko Arkady
Название: Applications of Contact Geometry and Topology in Physics
ISBN: 9814412082 ISBN-13(EAN): 9789814412087
Издательство: World Scientific Publishing
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Цена: 163680.00 T
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Описание: Although contact geometry and topology still remains a domain of research in pure mathematics. This book attempts to change the status quo. It is written in the style of Landau - Lifshitz (L - L) multivolume course in theoretical physics. It expects readers to have background in theoretical physics (at least at the level of the L - L course).

Physics and Mathematics of Link Homology

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.

New Spaces in Mathematics: Volume 1: Formal and Conceptual Reflections

Автор: Mathieu Anel, Gabriel Catren
Название: New Spaces in Mathematics: Volume 1: Formal and Conceptual Reflections
ISBN: 1108490638 ISBN-13(EAN): 9781108490634
Издательство: Cambridge Academ
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Цена: 66530.00 T
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Описание: This book explores various new notions of space in mathematics, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop. It is suitable for mathematicians and mathematical physicists, as well as historians and philosophers of these disciplines.

Advances in Geometry and Mathematical Physics: Lectures given at the Geometry and Topology conference at Harvard University in 2014

Автор: Huai-Dong Cao, Shing-Tung Yau
Название: Advances in Geometry and Mathematical Physics: Lectures given at the Geometry and Topology conference at Harvard University in 2014
ISBN: 1571463224 ISBN-13(EAN): 9781571463227
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: This volume consists of articles by speakers at the Conference on Geometry and Topology held at Harvard University in 2014. Included are: Camillo De Lellis, on the size of the singular set of area-minimizing currents; Simon Donaldson, on Kähler–Einstein metrics and algebraic structures on limit spaces; Mark Gross, on theta functions and mirror symmetry; Nigel Hitchin, on Higgs bundles and diffeomorphism groups; Fernando Marques, on topology of the space of cycles and existence of minimal varieties; William Meeks, on constant mean curvature surfaces; Richard Thomas, on the proof of the KKV conjecture; Claire Voisin, on stable birational invariants and the Luroth problem; and Mu-Tao Wang, on energy, momentum, and center of mass in general relativity.

Nonabelian Multiplicative Integration On Surfaces

Автор: Yekutieli Amnon
Название: Nonabelian Multiplicative Integration On Surfaces
ISBN: 9814663840 ISBN-13(EAN): 9789814663847
Издательство: World Scientific Publishing
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Цена: 61250.00 T
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Описание: Nonabelian multiplicative integration on curves is a classical theory. This volume is about the 2-dimensional case, which is much more difficult.

Quantum Systems, Channels, Information: A Mathematical Introduction

Автор: Alexander S. Holevo
Название: Quantum Systems, Channels, Information: A Mathematical Introduction
ISBN: 3110642247 ISBN-13(EAN): 9783110642247
Издательство: Walter de Gruyter
Цена: 185890.00 T
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Описание: The series Texts and Monographs in Theoretical Physics collects advanced texts on selected topics from the broad and varied field of Theoretical Physics. The works in the series will enable the readers to get a deep understanding of current topics in Theoretical Physics, with a special emphasis on recent developments. They are aimed at advanced students and researchers in theoretical and mathematical physics, and can also serve as secondary reading for lectures and seminars at post-graduate levels.

Regular and Irregular Holonomic D-Modules

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.

Topology and Quantum Theory in Interaction

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.

Geometric, Algebraic and Topological Methods for Quantum Field Theory - Proceedings of the 2013 Villa de Leyva Summer School

Автор: Cano Leonardo, Ocampo Hernan
Название: Geometric, Algebraic and Topological Methods for Quantum Field Theory - Proceedings of the 2013 Villa de Leyva Summer School
ISBN: 9814730874 ISBN-13(EAN): 9789814730877
Издательство: World Scientific Publishing
Цена: 174240.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics. It is aimed at graduate students and researchers in physics or mathematics, and offers an introduction to the topics discussed in the two weeks of the summer school: operator algebras, conformal field theory, black holes, relativistic fluids, Lie groupoids and Lie algebroids, renormalization methods, spectral geometry and index theory for pseudo-differential operators.



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