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Instanton Counting, Quantum Geometry and Algebra

W-algebra. It is then clarified that such a gauge theory construction of the algebra naturally gives rise to further affinization and;

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Linear Algebra and Geometry

This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks;

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On the Intrinsic Geometry of Instanton Vacua

From the perspective of D-brane physics, we consider the role of the real intrinsic Riemannian geometry and describe the statistical nature;

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Geometric and Topological Methods for Quantum Field Theory

at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important;

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Quantum Codes for Topological Quantum Computation

quantum computation. It combines key concepts in linear algebra, algebraic topology, hyperbolic geometry, group theory, quantum mechanics, and;

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More Than Counting, Standards Edition

provides 124 math lessons for young children. Activities are organized by learning standard-number sense and operations, algebra, geometry;

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Frobenius Manifolds, Quantum Cohomology and Moduli Spaces

of the book, the author describes the construction of quantum cohomology and reviews the algebraic geometry mechanisms involved in this;

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Algebraic Geometry for Associative Algebras

This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and;

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An Introduction to Noncommutative Differential Geometry and its Physical Applications

This is an introduction to non-commutative geometry, with special emphasis on those cases where the structure algebra, which defines the;

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Solitons and Instantons

methods are then developed for quantizing solitons to obtain quantum particles. Vacuum tunneling, &ugr;-vacua and the dilute-instanton-gas;

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Quantum Groups and Related Topics

formalisms of noncommutative geometry on quantum groups, the quantum deformation of Poincare algebra and the axiomatric approach to superselection;

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Quantum Groups Primer

supplement to modern courses in advanced algebra. The book assumes a background knowledge of basic algebra and linear algebra. Some familiarity with;

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Partition Functions and Automorphic Forms

forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition;

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Partition Functions and Automorphic Forms

forms and applications to quantum gravity, 3) superconformal indices and elliptic hypergeometric integrals, related instanton partition;

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Quantum Mechanics in the Geometry of Space-Time: Elementary Theory

integrated into the Dirac theory and this way interpreted in terms of space-time geometry. Finally, some implications for quantum electrodynamics are;

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Geometric and Topological Methods for Quantum Field Theory

series of topics on geometry, topology, algebra, number theory methods and their applications to quantum field theory, the book covers topics;

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Quantum Groups and Noncommutative Geometry

in algebra to take up the study of Hopf algebras and quantum groups. In this expanded write-up of those lectures, Manin systematically develops an;

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Poisson Geometry, Deformation Quantisation and Group Representations

Poisson geometry lies at the cusp of noncommutative algebra and differential geometry, with natural and important links to classical;

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The Theory and Applications of Instanton Calculations

Instantons, or pseudoparticles, are solutions to the equations of motion in classical field theories on a Euclidean spacetime. Instantons;

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The Theory and Applications of Instanton Calculations

Instantons, or pseudoparticles, are solutions to the equations of motion in classical field theories on a Euclidean spacetime. Instantons;

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Topics in Non-Commutative Geometry

There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle;

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Topics in Non-Commutative Geometry

There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle;

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The Contest Problem Book IX

Arithmetic, Sequences and Series, Triangle Geometry, Circle Geometry, Quadrilateral Geometry, Polygon Geometry, Counting Coordinate Geometry, Solid;

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The Contest Problem

of the book classifies the problems into the following major subject areas: Algebra and Arithmetic, Sequences and Series, Triangle Geometry;

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Fundamentals of Quantum Optics

quantum theory of partial coherence and the nature of the relations between classical and quantum theories of coherence. Students and professional;

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Differential Sheaves And Connections

the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to "physical geometry;

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Quantum Algorithms via Linear Algebra

Quantum computing explained in terms of elementary linear algebra, emphasizing computation and algorithms and requiring no background;

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