Notes on Noncommutative Geometry by Igor Nikolaev - PDF
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About this book :-
This text is a short and approachable introduction to the field of noncommutative geometry which is a branch of math. It covers basics of noncommutative geometry and its applications in topology, algebraic geometry and number theory. It focus on key topics like noncommutative tori, spectral triples, and operator algebras, and shows how they connect to other parts of math like geometry, number theory, and physics.
This text is written for graduate students and researchers but it is clear enough for anyone with some math background to follow. It also includes examples and exercises to help with learning.
Book Detail :-
This book has following details information.
Title:
Notes on Noncommutative Geometry by Igor Nikolaev - PDF
Publisher:
arXiv
Year:
2015
Pages:
309
Type:
PDF
Language:
English
ISBN-10 #:
3110788608
ISBN-13 #:
978-3110788600
License:
N\A
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About Author :-
The author NA
NA
Book Contents :-
This book has following table of 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
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. Non-commutative Algebraic Geometry
14. Non-commutative Trends in Algebraic Geometry
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