Alibris: Noncommutative differential geometry

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1	The Novikov Conjecture: Geometry and Algebra more books like this by Matthias Kreck These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a version of the assembly map is presented. Using the solution of the ... see all copies from $11.56! new only from $21.19! \| first editions
2	An Introduction to Noncommutative Differential Geometry and Its Physical Applications more books like this by J Madore A significant amount of the differential structure of a smooth manifold can be encoded in the algebra of smooth functions defined on it. A noncommutative geometry is what one obtains when one replaces this algebra by a noncommutative associative algebra. Of particular interest is the case when the algebra is of finite dimension, for example an ... see all copies from $42.95! new only from $62.50! \| first editions \| SVS
3	Noncommutative Differential Geometry and Its Applications to Physics more books like this by Yoshiaki Maeda (Editor), Hitoshi Moriyoshi (Editor), Hideki Omori (Editor) Noncommutative differential geometry is a new approach to classical geometry. It was originally used by Fields Medalist A. Connes in the theory of foliations, where it led to striking extensions of Atiyah-Singer index theory. It also may be applicable to hitherto unsolved geometric phenomena and physical experiments. However, noncommutative ... see all copies from $60.67! new only from $118.30! \| SVS
4	Noncommutative Geometry and the Standard Model of Elementary Particle Physics more books like this by Florian Scheck (Editor), Harald Upmeier (Editor), Wend Werner (Editor) The outcome of a close collaboration between mathematicians and mathematical physicists, these Lecture Notes present the foundations of A. Connes noncommutative geometry, as well as its applications in particular to the field of theoretical particle physics. The coherent and systematic approach makes this book useful for experienced researchers ... see all copies from $94.50! new only from $94.50! \| SVS
5	Cyclic Cohomology and Noncommutative Geometry more books like this by Joachim J R Cuntz Noncommutative geometry is a new field that is among the great challenges of present-day mathematics. Its methods allow one to treat noncommutative algebras - such as algebras of pseudodifferential operators, group algebras, or algebras arising from quantum field theory - on the same footing as commutative algebras, that is, as spaces. ... see all copies from $38.00! new only from $48.00!
6	Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators more books like this by Vladimir E Nazaikinskii, Anton Yu Savin, Boris Yu Sternin The book deals with nonlocal elliptic differential operators. These are operators whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such operators to topological invariants of the manifold ... see all copies from $83.30! new only from $83.30! \| SVS
7	Hopf Algebras in Noncommutative Geometry and Physics more books like this by Fred Van Oystaeyen (Editor), Stefaan Caenepeel (Editor), Caenepeel Caenepeel This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium. Offering 1155 display equations, this volume contains original research and survey papers as well as contributions from world-renowned algebraists. It focuses on new results in classical Hopf algebras as well as the ... see all copies from $140.30! new only from $173.65!
8	Gromov-Hausdorff Distance for Quantum Metric Spaces/Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance more books like this by Marc A Rieffel see all copies from $61.84! new only from $61.84!
9	Arithmetic Noncommutative Geometry more books like this by Matilde Marcolli Arithmetic noncommutative geometry uses ideas and tools from noncommutative geometry to address questions in a new way and to reinterpret results and constructions from number theory and arithmetic algebraic geometry. This general philosophy is applied to the geometry and arithmetic of modular curves and to the fibers at Archimedean places of ... see all copies from $35.65! new only from $35.65!
10	Kp or Mkp: Noncommutative Mathematics of Lagrangian, Hamiltonian, and Integrable Systems more books like this by Boris A. Kupershmidt This book develops a theory that can be viewed as a noncommutative counterpart of the following topics: dynamical systems in general and integrable systems in particular; Hamiltonian formalism; variational calculus, both in continuous space and discrete. The text is self-contained and includes a large number of exercises. Many different specific ... see all copies from $128.50! new only from $141.01!
11 view cover	Quantum Stochastic Processes and Noncommutative Geometry more books like this by Kalyan B Sinha, Debashish Goswami The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic ... see all copies from $79.91! new only from $79.91! \| SVS
12 view cover	Noncommutative Geometry and Cayley-Smooth Orders more books like this by Lieven Le Bruyn "Noncommutative Geometry and Cayley-smooth Orders" explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. In particular, this book describes the etale local structure of such orders as well as their central singularities and finite dimensional representations. After an introduction to partial ... see all copies from $85.36! new only from $85.36! \| SVS
13	Geometric Models for Noncommutative Algebras more books like this by Ana Cannas Da Silva The volume is based on a course, "Geometric Models for Noncommutative Algebras" taught by Professor Weinstein. Noncommutative geometry is the study of noncommutative algebras as if they were algebras of functions on spaces, for example, the commutative algebras associated to affine algebraic varieties, differentiable manifolds, topological spaces, ... see all copies from $34.50! new only from $34.50!
14	Algebraic foundations of non-commutative differential geometry and quantum groups more books like this by Ludwig Pittner Quantum groups and quantum algebras, as well as non-commutative differential geometry, are important in mathematics and considered to be useful tools for model building in statistical and quantum physics. This book presents their algebraic framework. Introductory chapters deal with background material such as Lie and Hopf superalgebras, Lie super ... see all copies from $81.35! new only from $82.00!
15 view cover	Noncommutative Geometry, Quantum Fields and Motives more books like this by Alain Connes The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role: space-time, where the guiding principle is the problem of developing a quantum theory of gravity, and the space of ... see all copies from $57.00! new only from $57.00!
16 view cover	Introduction to the Baum-Connes Conjecture more books like this by Alain Valette The Baum-Connes conjecture is part of A. Connes' non-commutative geometry programme. It can be viewed as a conjectural generalisation of the Atiyah-Singer index theorem, to the equivariant setting (the ambient manifold is not compact, but some compactness is restored by means of a proper, co-compact action of a group G. Like the Atiyah-Singer ... see all copies from $32.62! new only from $54.63!
17	Diffeomorphisms and Noncommutative Analytic Torsion more books like this by John Lott This book is intended for graduate students and research mathematicians working in global analysis and analysis on manifolds see all copies from $48.84! new only from $48.84!
18 view cover	Quantum groups, noncomutative geometry and fundamental physical interactions more books like this by Daniel Kastler Contents include: Hochschild Homology of Function Algebras Associated with Singularities; On the KK-Theory of Stable Projective Limits; Noncommutative Integrability; Gauge Invariance of the Chern-Simons Action in Noncommutative Geometry; The Analysis of the Hochshild Homology; Coproducts and Operations on Cyclic Cohomology; Powers of Quantum ... see all copies from $303.75!
19 view cover	Physics in Noncommutative World,: 1N Field Theories more books like this by Miao Li (Editor) Recent years have witnessed increasing interests in physics in noncommutative space, and noncommutative space-time. The notion of quantized space-time and that of noncommuting guiding-center coordinates in the lowest Landau level have existed for quite a while. Lately since the discovery of noncommutative field theories in matrix models that ... see all copies from $136.58! new only from $136.58!
20 view cover	Noncommutative Structures in Mathematics and Physics more books like this by Steven Duplij, Julius Wess (Editor) This book offers a presentation of outstanding achievements and ideas, of both eastern and western scientists, both mathematicians and physicists. Their presentations of recent work on quantum field theory, supergravity, M-theory, black holes and quantum gravity, together with research into noncommutative geometry, Hopf algebras, representation ... see all copies from $59.47! new only from $59.47! \| SVS
21 view cover	Topics in Algebraic and Noncommutative Geometry: Proceedings in Memory of Ruth Michler, July 20-22, 2001, Luminy, France [And] October 25-28, 2001, An more books like this by Ruth I. Michler This book presents the proceedings of two conferences, Resolution des singularites et geometrie non commutative and the Annapolis algebraic geometry conference. Research articles in the volume cover various topics of algebraic geometry, including the theory of Jacobians, singularities, applications to cryptography, and more. The book is suitable ... see all copies from $45.04! new only from $50.00! \| first editions
22 view cover	Noncommutative Geometry and Representation Theory in Mathematical Physics: Satellite Conference to the Fourth European Congress of Mathematics, July 5-10, 2004, Karlstad University, Karlstad, Sweden, more books like this by Jurgen Fuchs Mathematics provides a language which formulates the laws that govern nature. It is a language proven to be both powerful and effective. In the quest for a deeper understanding of the fundamental laws of physics, one is led to theories that are increasingly difficult to put to the test. In recent years, many novel questions have emerged in ... see all copies from $39.60! new only from $39.60!
23 view cover	Blowing Up of Non-Commutative Smooth Surfaces more books like this by M Van Den Bergh This text looks at topics that include: preliminaries on category theory; non-commutative geometry; pseudo-compact rings; Cohen-Macaulay curves embedded in quasi-schemes; derived categories; quantum plane geometry; and non-commutative cubic surfaces. see all copies from $24.26! new only from $24.26!

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