Noncommutative Geometry : : A Functorial Approach / / Igor V. Nikolaev.
Noncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. This book covers the key concepts of noncommutative geometry and its applications in topology, algebraic geometry, and number theory. Our presentation is accessible to the graduate st...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©2022 |
| Year of Publication: | 2022 |
| Edition: | This is the revised second edition. |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
66 |
| Online Access: | |
| Physical Description: | 1 online resource (XX, 380 p.) |
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Table of Contents:
- Frontmatter
- Foreword
- Foreword to the second edition
- Introduction
- Contents
- 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
- 7 Arithmetic topology
- 8 Quantum arithmetic
- Part III: Brief survey of NCG
- 9 Finite geometries
- 10 Continuous geometries
- 11 Connes geometries
- 12 Index Theory
- 13 Jones polynomials
- 14 Quantum groups
- 15 Noncommutative algebraic geometry
- 16 Trends in noncommutative geometry
- Bibliography
- Index