Noncommutative geometry : a functorial approach / Igor V. Nikolaev.
Material type:
TextSeries: De Gruyter studies in mathematics ; Volume 66.Publisher: Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter, 2017Copyright date: ©2017Description: 1 online resource (266 pages) : illustrationsContent type: - text
- computer
- online resource
- 9783110545258 (e-book)
- 516.3/5 23
- QC20.7.G44 .N556 2017
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Enhanced descriptions from Syndetics:
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, bibliography, and a list of exercises is included. The presentation is intended for graduate students and researchers with interests in NCG, but will also serve nonexperts in the field.
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
Includes bibliographical references and index.
Description based on print version record.
Electronic reproduction. Ann Arbor, MI : ProQuest, 2016. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
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