Noncommutative Geometry : a Functorial Approach.

Noncommutative Geometry : a Functorial Approach.

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 wor...

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Bibliographic Details
Main Author: Nikolaev, Igor V.
Format: eBook
Language:English
Published: Berlin/Boston : De Gruyter, 2017.
Series:De Gruyter studies in mathematics.
Subjects:
Noncommutative differential geometry.
Geometry, Algebraic.
Number theory.
MATHEMATICS > Geometry > Algebraic.
Geometry, Algebraic
Noncommutative differential geometry
Number theory
Online Access:Click for online access
Table of Contents:
  • Frontmatter
  • Preface
  • 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
  • References
  • Index

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