عنوان
پدید آورنده
موضوع
رده
QA329.42 .N396 2008
QA329
.
42
.
N396
2008
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
3764387750 (e-isbn)
(Number (ISBN
9783764387754 (e-isbn)
Erroneous ISBN
3764387742
Erroneous ISBN
9783764387747
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Elliptic theory and noncommutative geometry
General Material Designation
[Book]
Other Title Information
nonlocal elliptic operators /
First Statement of Responsibility
Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boston :
Name of Publisher, Distributor, etc.
Birkhäuser,
Date of Publication, Distribution, etc.
c2008.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xii, 224 p.) :
Other Physical Details
ill.
SERIES
Series Title
Advances in partial differential equations.
Volume Designation
v. 183.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. [217]-221) and index.
CONTENTS NOTE
Text of Note
Introduction; Nonlocal Functions and Bundles; Nonlocal Elliptic Operators; Elliptic Operators over C *-Algebras; Homotopy Classification; Analytic Invariants; Bott Periodicity; Direct Image and Index Formulas in K -Theory; Chern Character; Cohomological Index Formula; Cohomological Formula for the .-Index; Index of Nonlocal Operators over C *-Algebras; Index Formula on the Noncommutative Torus; An Application of Higher Traces; Index Formula for a Finite Group.
0
SUMMARY OR ABSTRACT
Text of Note
The book deals with nonlocal elliptic differential operators. These are operators whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such operators to topological invariants of the manifold itself. This problem can be solved by modern methods of noncommutative geometry. To make the book self-contained, the authors have included necessary geometric material (C*-algebras and their K-theory, cyclic homology, etc.).
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
MIL
Stock Number
149124
OTHER EDITION IN ANOTHER MEDIUM
Title
Elliptic theory and noncommutative geometry.
International Standard Book Number
3764387742
TOPICAL NAME USED AS SUBJECT
Elliptic operators.
Noncommutative differential geometry.
DEWEY DECIMAL CLASSIFICATION
Number
515
.
7242
Edition
22
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA329
.
42
Book number
.
N396
2008
PERSONAL NAME - PRIMARY RESPONSIBILITY
Nazaĭkinskiĭ, V. E.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Savin, Anton Yu.
Sternin, B. ︠I︡U.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20130129022147.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
