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Differential Geometry and Lie Groups for Physicistsby Marián Fecko
Cambridge University Press 2006; US$ 52.00Covering subjects including manifolds, tensor fields, spinors, and differential forms, this textbook introduces geometrical topics useful in modern theoretical physics and mathematics. It develops understanding through over 1000 short exercises, and is suitable for advanced undergraduate or graduate courses in physics, mathematics and engineering. more...
Twenty Years Of Bialowiezaby S Twareque Ali; Gerard G Emch; Anatol Odzijewicz
World Scientific 2005; US$ 127.00This volume marks the twentieth anniversary of the Bialowieza series of meetings on Differential Geometric Methods in Physics; the anniversary meeting was held during July 1?7, 2001. The Bialowieza meetings, held every year during the first week of July, have now grown into an annual pilgrimage for an international group of physicists and mathematicians. The topics discussed at the meetings, while within the broad area of differential geometric methods in physics, have focused around quantization, coherent states, infinite dimensional systems, symplectic geometry, spectral theory and harmonic analysis. The present volume brings together a set of specially invited papers from leading experts in the various fields, who have contributed to these... more...
Modern Differential Geometry in Gauge Theoriesby Anastasios Mallios
Springer 2006; US$ 160.00Aimed at undergraduates, graduate students, mathematicians, and physicists, this work offers a differential geometry approach to such physical theories as gauge theory. Sheaf theory and sheaf cohomology explain the machinery of classical differential geometry. Together they present Maxwell fields, Yang-Mills fields, and general relativity. more...
Lectures On Fuzzy And Fuzzy Susy Physicsby A P Balachandran; S Kürkçüoglu; S Vaidya
World Scientific 2007; US$ 62.40Noncommutative geometry provides a powerful tool for regularizing quantum field theories in the form of fuzzy physics. Fuzzy physics maintains symmetries, has no fermion-doubling problem and represents topological features efficiently. These lecture notes provide a comprehensive introduction to the field. Starting with the construction of fuzzy spaces, using the concrete examples of the fuzzy sphere and fuzzy complex projective spaces, the book moves on to discuss the technology of star products on noncommutative R2d and on the fuzzy sphere. Scalar, spinor and gauge field theories as well as extended objects such as monopoles and nonlinear sigma modes are treated in considerable detail. A detailed treatment of the regularization of supersymmetry... more...
Quantum Spacesby Bertrand Duplantier; Vincent Rivasseau
Springer 2007; US$ 109.00This book starts with an introduction by V. Pasquier on the usefulness of non-commutative geometry, especially in the condensed matter context of the Hall effect. This theme is further developed by A. Polychronakos, who together with L. Susskind introduced the concept of non-commutative fluids. Jean-Michel Maillet compares the experimental results on one dimensional magnetic chains to the theoretical predictions based on the algebraic Bethe Ansatz and related to quantum group symmetries that he actively developed with many collaborators. On the high energy side of non-commutative geometry the book includes two complementary reviews. A. Connes describes the striking progress recently made in gathering all the interactions and fields of the standard... more...
Noncommutative Geometry and Cayley-smooth Ordersby Lieven Le Bruyn
Taylor & Francis 2007; US$ 99.95Explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. This book describes the etale local structure of such orders as well as their central singularities and finite dimensional representations. It presents the invariant theoretic description of orders and their centers. more...
Differential manifolds and theoretical physicsby W.D. Curtis; Miller. F.R.
Elsevier 1985; US$ 121.00Differential manifolds and theoretical physics more...
Geometric and Topological Methods for Quantum Field Theoryby Hernan Ocampo; Eddy Pariguan; Sylvie Paycha
Cambridge University Press 2010; US$ 110.00An introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. more...
Modern Differential Geometry in Gauge Theoriesby Anastasios Mallios
Springer 2010; US$ 99.00A monograph that applies a sheaf-theoretic approach to such physical theories as gauge theory. It focuses on Maxwell fields and offers a sheaf-theoretic approach to Yang-Mills fields, discussing cohomological classification of Yang-Mills fields; and the geometry of Yang-Mills A-connections and moduli space of a vector sheaf. more...
Differential Geometry, Gauge Theories, and Gravityby M. Göckeler; T. Schücker
Cambridge University Press 1987; US$ 46.00Cambridge University Press is committed to keeping scholarly work in print for as long as possible. A short print-run of this academic paperback has been produced using digital technology. This technology has enabled Cambridge to keep the book in print fo more...
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