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Toric Topology, Victor M. Buchstaber, Taras E. Panov


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Автор: Victor M. Buchstaber, Taras E. Panov
Название:  Toric Topology
ISBN: 9781470422141
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 147042214X
Обложка/Формат: Hardback
Страницы: 523
Вес: 1.10 кг.
Дата издания: 30.08.2015
Серия: Mathematical surveys and monographs
Язык: English
Размер: 194 x 263 x 35
Читательская аудитория: Professional and scholarly
Ключевые слова: Geometry,Topology
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Поставляется из: Англии
Описание: This book is about toric topology, a new area of mathematics that emerged at the end of the 1990s on the border of equivariant topology, algebraic and symplectic geometry, combinatorics, and commutative algebra. It has quickly grown into a very active area with many links to other areas of mathematics, and continues to attract experts from different fields.The key players in toric topology are moment-angle manifolds, a class of manifolds with torus actions defined in combinatorial terms. Construction of moment-angle manifolds relates to combinatorial geometry and algebraic geometry of toric varieties via the notion of a quasitoric manifold. Discovery of remarkable geometric structures on moment-angle manifolds led to important connections with classical and modern areas of symplectic, Lagrangian, and non-Kaehler complex geometry. A related categorical construction of moment-angle complexes and polyhedral products provides for a universal framework for many fundamental constructions of homotopical topology. The study of polyhedral products is now evolving into a separate subject of homotopy theory. A new perspective on torus actions has also contributed to the development of classical areas of algebraic topology, such as complex cobordism.This book includes many open problems and is addressed to experts interested in new ideas linking all the subjects involved, as well as to graduate students and young researchers ready to enter this beautiful new area.
Дополнительное описание: Geometry|Topology


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.

Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes

Автор: Recknagel
Название: Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes
ISBN: 0521832233 ISBN-13(EAN): 9780521832236
Издательство: Cambridge Academ
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Цена: 74970.00 T
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Описание: Written by internationally renowned experts, this comprehensive introduction to boundary conformal field theory extends from theoretical foundations to recent developments, with an emphasis on the algebraic treatment of string backgrounds. Providing numerous worked examples, this reference is of interest to graduate students and researchers in physics and mathematics.

Geometric Analysis

Автор: Li
Название: Geometric Analysis
ISBN: 1107020646 ISBN-13(EAN): 9781107020641
Издательство: Cambridge Academ
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Цена: 70750.00 T
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Описание: This graduate-level text demonstrates the basic techniques and how to apply them to various areas of research in geometric analysis. The author focuses mainly on the interaction of partial differential equations with differential geometry and only a rudimentary knowledge of Riemannian geometry and partial differential equations is required.

Noncommutative Algebraic Geometry

Автор: Bellamy
Название: Noncommutative Algebraic Geometry
ISBN: 1107129540 ISBN-13(EAN): 9781107129542
Издательство: Cambridge Academ
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Цена: 82370.00 T
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Описание: This book provides a comprehensive introduction to some of the most significant interactions between noncommutative algebra and representation theory and classical algebraic geometry, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities.

A Functorial Model Theory: Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos

Автор: Nourani Cyrus F.
Название: A Functorial Model Theory: Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos
ISBN: 1926895924 ISBN-13(EAN): 9781926895925
Издательство: Taylor&Francis
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Цена: 122490.00 T
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Описание:

This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models.


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.

Combinatorial And Toric Homotopy: Introductory Lectures

Автор: Darby Alastair, Grbic Jelena, Lu Zhi, Wu Jie
Название: Combinatorial And Toric Homotopy: Introductory Lectures
ISBN: 9813226560 ISBN-13(EAN): 9789813226562
Издательство: World Scientific Publishing
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Цена: 156290.00 T
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Описание:

This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning.

The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis-Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of fr-codes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics.

The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students.


Three-dimensional geometry and topology

Автор: Thurston, William P.
Название: Three-dimensional geometry and topology
ISBN: 0691083045 ISBN-13(EAN): 9780691083049
Издательство: Wiley
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Цена: 116160.00 T
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Описание: Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning, but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book develops some of the power of geometry in two and three dimensions, and the strong connection of geometry with topology.

Introduction to symplectic topology

Автор: Mcduff, Dusa Salamon, Dietmar
Название: Introduction to symplectic topology
ISBN: 0198794908 ISBN-13(EAN): 9780198794905
Издательство: Oxford Academ
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Цена: 66530.00 T
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Описание: Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. This new third edition of a classic book in the feild includes updates and new material to bring the material right up-to-date.

Recursion-Theoretic Hierarchies

Автор: Hinman
Название: Recursion-Theoretic Hierarchies
ISBN: 1107168244 ISBN-13(EAN): 9781107168244
Издательство: Cambridge Academ
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Цена: 159450.00 T
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Описание: The theory set out in this volume is the result of the meeting and common development of two currents of mathematical research: descriptive set theory and recursion theory. The author develops a general theory from which the results of both areas can be derived, making the common themes clear.

Proofs without Words III

Автор: Nelsen
Название: Proofs without Words III
ISBN: 0883857901 ISBN-13(EAN): 9780883857908
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 49330.00 T
Наличие на складе: Невозможна поставка.
Описание: Proofs without words (PWWs) are figures or diagrams that help the reader see why a particular mathematical statement is true, and how one might begin to formally prove it true. Many PWWs date back to classical Greece, ancient China, and medieval Europe and the Middle East. This third collection of PWWs follows a coherent structure, with proofs being arranged by topic into five chapters: geometry and algebra; trigonometry, calculus and analytic geometry; inequalities; integers and integer sums; and infinite series and other topics. They are intended primarily for the enjoyment of the reader; however, teachers will want to use them with students at many levels, including high school courses from algebra through precalculus and calculus, college level courses in number theory, combinatorics, and discrete mathematics, and pre-service and in-service courses for teachers.

The Homotopy theory of (?,1)-categories

Автор: Bergner, Julia E. (university Of Virginia)
Название: The Homotopy theory of (?,1)-categories
ISBN: 110749902X ISBN-13(EAN): 9781107499027
Издательство: Cambridge Academ
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Цена: 40130.00 T
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Описание: Homotopical or ( ,1)-categories have become a significant framework in many areas of mathematics. This book gives an introduction to the different approaches to these structures and the comparisons between them from the perspective of homotopy theory.


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