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Noncommutative geometry : a functorial approach / Igor V. Nikolaev.

By: Nikolaev, Igor V [author].
Material type: TextTextSeries: De Gruyter studies in mathematics ; v 66.Publisher: Berlin : De Gruyter, ©2017Description: xiii, 263 pages : illustrations ; 25 cm.ISBN: 9783110543179.Subject(s): Noncommutative differential geometry | Algebraic geometry | Number theoryDDC classification: 516
Contents:
Introduction -- Part I: Basics -- 1. Model examples -- 2. Categories and functors -- 3. C∗-algebras -- Part II: Noncommutative invariants -- 4. Topology -- 5. Algebraic geometry -- 6. Number theory -- Part III: Brief survey of NCG -- 7. Finite geometries -- 8. Continuous geometries -- 9. Connes geometries -- 10. Index theory -- 11. Jones polynomials -- 12. Quantum groups -- 13. Noncommutative algebraic geometry -- 14. Trends in noncommutative geometry.
Summary: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer.
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Item type Current location Call number Status Date due Barcode Item holds
Books Books ISI Library, Kolkata
 
516 N693 (Browse shelf) Available 138370
Total holds: 0

Includes bibliographical references and index.

Introduction --
Part I: Basics --
1. Model examples --
2. Categories and functors --
3. C∗-algebras --
Part II: Noncommutative invariants --
4. Topology --
5. Algebraic geometry --
6. Number theory --
Part III: Brief survey of NCG --
7. Finite geometries --
8. Continuous geometries --
9. Connes geometries --
10. Index theory --
11. Jones polynomials --
12. Quantum groups --
13. Noncommutative algebraic geometry --
14. Trends in noncommutative geometry.

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer.

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