Shortcuts

Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)

Please wait while page loads.

. .

- Main Menu-

Catalogue Display

Catalogue Information
Field name	Details
Dewey Class	510
Title	Basic noncommutative geometry (M) / Masoud Khalkhali
Author	Khalkhali, Masoud
Edition statement	second edition
Publication	Zürich, Switzerland : European Mathematical Society , 2013
Physical Details	xviii, 239 pages : ill. ; 24 cm.
Series	EMS series of lectures in mathematics
ISBN	9783037191286
Summary Note	"Basic Noncommutative Geometry provides an introduction to noncommutative geometry and some of its applications. The book can be used either as a textbook for a graduate course on the subject or for self-study. It will be useful for graduate students and researchers in mathematics and theoretical physics and all those who are interested in gaining an understanding of the subject. One feature of this book is the wealth of examples and exercises that help the reader to navigate through the subject. While background material is provided in the text and in several appendices, some familiarity with basic notions of functional analysis, algebraic topology, differential geometry and homological algebra at a first year graduate level is helpful. Developed by Alain Connes since the late 1970s, noncommutative geometry has found many applications to long-standing conjectures in topology and geometry and has recently made headways in theoretical physics and number theory. The book starts with a detailed description of some of the most pertinent algebra-geometry correspondences by casting geometric notions in algebraic terms, then proceeds in the second chapter to the idea of a noncommutative space and how it is constructed. The last two chapters deal with homological tools: cyclic cohomology and Connes-Chern characters in K-theory and K-homology, culminating in one commutative diagram expressing the equality of topological and analytic index in a noncommutative setting. Applications to integrality of noncommutative topological invariants are given as well.":
Contents note	Examples of algebra-geometry correspondences -- Noncommutative quotients -- Cyclic cohomology -- Connes-Chern character -- Appendices: Gelfand-Naimark theorems -- Compact operators, Fredholm operators, and abstract index theory -- Projective modules -- Equivalence of categories.
Links to Related Works	Subject References: Noncommutative differential geometry . Authors: Khalkhali, Masoud . Series: EMS series of lectures in mathematics . Classification: 510 .

.

ISBD Display Catalogue Record 50042

.

Tag Display Catalogue Record 50042

.

Related Works Catalogue Record 50042

.

Marc XML Catalogue Record 50042

.

Add Title to Basket Catalogue Record 50042

.

Catalogue Information 50042 Beginning of record . Catalogue Information 50042 Top of page .

Item Information
Barcode	Shelf Location	Collection	Volume Ref.	Branch	Status	Due Date
0000000044452	514.81 KHA	General		SISSA .	. Available .

. Catalogue Record 50042 ItemInfo Beginning of record . Catalogue Record 50042 ItemInfo Top of page .

Most Popular Titles
#	Author	Title
1	. Jost, Jürgen 1956- 1	. Nonpositive curvature: geometric and analytic aspects 1
2	. Jost, Jürgen 1956- 2	. Calculus of variations 2
3	. Jost, Jürgen 1956- 3	. Harmonic maps between surfaces: with a special chapter on conformal mappings 3
4		. Geometric analysis and the calculus of variations for Stefan Hildebrandt 4
5	. Jost, Jürgen 1956- 5	. Compact Riemann surfaces: an introduction to contemporary mathematics 5

.

Reviews

This item has not been rated. Add a Review and/or Rating50042

.

. .

. . . E-mail This Page . Powered by Knosys © 2022 .