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Differential Topology and Quantum Field Theory

. Treats differential geometry, differential topology, and quantum field theory Includes elliptic differential and pseudo;

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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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C*-Algebras and Operator Theory

of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis;

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Probabilistic Methods in Geometry, Topology and Spectral Theory

field theory, and random graph theory. Its emphasis was on the use of ideas and methods from probability in different areas, such as quantum;

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Geometric And Topological Methods For Quantum Field Theory - Proceedings Of The Summer School

and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with;

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Differential Topology

appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments;

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Geometry, Topology and Physics

and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The;

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Geometry, Topology and Physics

and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The;

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Topology for Physicists

relevance to quantum field theory-for example, topological nontrivial solutions of the classical equa tions of motion (solitons and instantons;

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Physics, Geometry and Topology

class in integrable systems, including many state models, two-dimensional conformal field theory, quantum field theory, and quantum gravity in 2;

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London Mathematical Society Lecture Note Series

differential geometry necessary for the remainder, this clear and comprehensive text covers the general theory of synthetic differential topology and;

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Algebraic and Differential Topology

Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines;

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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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Fundamentals of Advanced Mathematics V2

begins with the classical Galois theory and the theory of transcendental field extensions. Next, the differential side of these theories;

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Quantum Foundations, Probability and Information

. Rich with multi-disciplinary mathematical content, this book includes applications of partial differential equations in quantum field theory;

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The Universal Coefficient Theorem and Quantum Field Theory

This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a;

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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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Mathematical Aspects Of Quantum Field Theory

Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and;

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Developments in Mathematical and Conceptual Physics

problems in mechanics, fluid dynamics, quantum mechanics and quantum field theory, nonlinear dynamical systems, general relativity, cosmology, and;

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Developments in Mathematical and Conceptual Physics

problems in mechanics, fluid dynamics, quantum mechanics and quantum field theory, nonlinear dynamical systems, general relativity, cosmology, and;

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Differential Geometry and Topology

, differential topology, and dynamical systems. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and;

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Lectures on Field Theory and Topology

field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late;

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Moduli Spaces and Vector Bundles

physics, specifically gauge theory, quantum field theory and string theory. Peter E. Newstead has been a leading figure in this field almost from;

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Topology for Computing

The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields;

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Topology for Computing

The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields;

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Seiberg-Witten Gauge Theory

The newly developed field of Seiberg-Witten gauge theory has become a well-established part of the differential topology of four-manifolds;

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Differential Geometry And Physics - Proceedings Of The 23th International Conference Of Differential Geometric Methods In Theoretical Physics

. Besides the plenary talks, the coverage includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang;

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