rent-now

Rent More, Save More! Use code: ECRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

9780521659918

An Introduction to Noncommutative Differential Geometry and Its Physical Applications

by
  • ISBN13:

    9780521659918

  • ISBN10:

    0521659914

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 1999-08-13
  • Publisher: Cambridge University Press

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Purchase Benefits

List Price: $86.00 Save up to $27.95
  • Rent Book $58.05
    Add to Cart Free Shipping Icon Free Shipping

    TERM
    PRICE
    DUE
    SPECIAL ORDER: 1-2 WEEKS
    *This item is part of an exclusive publisher rental program and requires an additional convenience fee. This fee will be reflected in the shopping cart.

How To: Textbook Rental

Looking to rent a book? Rent An Introduction to Noncommutative Differential Geometry and Its Physical Applications [ISBN: 9780521659918] for the semester, quarter, and short term or search our site for other textbooks by J. Madore. Renting a textbook can save you up to 90% from the cost of buying.

Summary

This is an introduction to noncommutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fiber bundles is assumed, making this book accessible to graduate students and newcomers to this field.

Table of Contents

1 Introduction
1(6)
2 Differential Geometry
7(36)
2.1 Differential manifolds
7(15)
2.2 Metrics and connections
22(14)
2.3 Cohomology
36(7)
3 Matrix Geometry
43(63)
3.1 Differential forms I
44(17)
3.2 Differential forms II
61(9)
3.3 Tensor products
70(3)
3.4 Metrics
73(8)
3.5 Yang-Mills connections
81(6)
3.6 Linear connections
87(11)
3.7 Curvature
98(8)
4 Noncommutative Geometry
106(85)
4.1 General algebras
106(31)
4.2 Poisson structures
137(3)
4.3 Topological algebras
140(32)
4.4 Quantum groups
172(19)
5 Vector Bundles
191(26)
5.1 K-theory
191(14)
5.2 A matrix analogue
205(3)
5.3 Fredholm modules
208(9)
6 Cyclic Homology
217(17)
6.1 The universal calculus
217(9)
6.2 Cyclic homology
226(5)
6.3 Morita equivalence
231(1)
6.4 The Loday-Quillen theorem
232(2)
7 Modifications of Space-Time
234(42)
7.1 Noncommutative space-time
235(9)
7.2 A finite model
244(8)
7.3 Fuzzy physics
252(24)
8 Extensions of Space- Time
276(21)
8.1 The spinning particle
276(4)
8.2 Noncommutative electrodynamics
280(6)
8.3 Modified Kaluza-Klein theory
286(11)
Bibliography 297(17)
Index 314

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

Rewards Program