Noncommutative geometry a functorial approach
This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The author takes up the practical side of NCG and its value for other areas of mathematics. A brief survey of the main parts of NCG with historical remarks, bibliogra...
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| Format: | eBook |
| Language: | English |
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Berlin ; Boston
De Gruyter
2017, ©2018
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| Series: | De Gruyter studies in mathematics
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| Online Access: | |
| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
Table of Contents:
- Part I: Basics
- Model examples
- Categories and functors
- C∗-algebras
- Part II: Noncommutative invariants
- Topology
- Algebraic geometry
- Number theory
- Part III: Brief survey of NCG
- Finite geometries
- Continuous geometries
- Connes geometries
- Index theory
- Jones polynomials
- Quantum groups
- Noncommutative algebraic geometry
- Trends in noncommutative geometry