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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


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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: 9781571463227
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 1571463224
Обложка/Формат: Hardback
Страницы: 360
Вес: 0.35 кг.
Дата издания: 30.09.2016
Серия: Surveys in differential geometry
Язык: English
Размер: 229 x 152
Читательская аудитория: Professional and scholarly
Ключевые слова: Differential & Riemannian geometry
Подзаголовок: Lectures given at the geometry and topology conference at harvard university in 2014
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Поставляется из: Англии
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.

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.

Many-Body Physics, Topology and Geometry

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.

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).

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.

3264 and All That

Автор: Eisenbud
Название: 3264 and All That
ISBN: 1107017084 ISBN-13(EAN): 9781107017085
Издательство: Cambridge Academ
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Цена: 101370.00 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.

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.

3264 and All That

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.

Higher Genus Curves in Mathematical Physics and Arithmetic Geometry

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.

Groups and Manifolds: Lectures for Physicists with Examples in Mathematica

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.

Aperiodic Order

Автор: Baake
Название: Aperiodic Order
ISBN: 0521869919 ISBN-13(EAN): 9780521869911
Издательство: Cambridge Academ
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Цена: 102430.00 T
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Описание: This first volume in a series provides a graduate-level introduction to the many facets of aperiodic order. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. Numerous illustrations and examples are included.

Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields

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.

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.


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