Noncommutative Geometry
A Functorial Approach
2nd Edition
Published on 18. July 2022
XX, 380 pages
978-3-11-078870-9 (ISBN)
Description
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 students as well as nonexperts in the field. The second edition includes two new chapters on arithmetic topology and quantum arithmetic.
More details
Series
Edition
This is the revised second edition.
Language
English
Place of publication
Berlin/Boston
Germany
Target group
Professional and scholarly
US School Grade: College Graduate Student
Edition type
Revised edition
Illustrations
60 ill.
File size
7,29 MB
ISBN-13
978-3-11-078870-9 (9783110788709)
Schweitzer Classification
Other editions
Additional editions
Book
07/2022
2nd Edition
De Gruyter
€164.95
Shipment within 5-7 days
E-Book
07/2022
2nd Edition
De Gruyter
€164.95
Available for download
Previous edition
E-Book
11/2017
1st Edition
De Gruyter
€114.95
Available for download
Person
Igor V. Nikolaev
, St. John's University, USA.
Content
- Intro
- 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
