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Connes-Chern Character for Manifolds with Boundary and Eta Cochains. (Record no. 69990)

MARC details
000 -LEADER
fixed length control field 03534nam a22004933i 4500
001 - CONTROL NUMBER
control field EBC3114495
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124610.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2012 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821892091
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821872963
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114495
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114495
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11041273
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922964849
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA613.618 -- .L473 2012eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516/.07
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Lesch, Matthias.
245 10 - TITLE STATEMENT
Title Connes-Chern Character for Manifolds with Boundary and Eta Cochains.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2012.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2012.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (106 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society ;
Volume/sequential designation v.220
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Contents -- List of Figures -- Introduction -- Chapter 1. Preliminaries -- 1.1. The general setup -- 1.2. Relative cyclic cohomology -- 1.3. The Chern character -- 1.4. Dirac operators and -graded Clifford modules -- 1.5. The relative Connes-Chern character of a Dirac operator over a manifold with boundary -- 1.6. Exact b-metrics and b-functions on cylinders -- 1.7. Global symbol calculus for pseudodifferential operators -- 1.8. Classical b-pseudodifferential operators -- 1.9. Indicial family -- Chapter 2. The b-Analogue of the Entire Chern Character -- 2.1. The b-trace -- 2.2. The relative McKean-Singer formula and the APS Index Theorem -- 2.3. A formula for the b-trace -- 2.4. b-Clifford modules and b-Dirac operators -- 2.5. The b-JLO cochain -- 2.6. Cocycle and transgression formulæ for the even/odd b-Chern character (without Clifford covariance) -- 2.7. Sketch of Proof of Theorem 2.11 -- Chapter 3. Heat Kernel and Resolvent Estimates -- 3.1. Basic resolvent and heat kernel estimates on general manifolds -- 3.2. Comparison results -- 3.3. Trace class estimates for the model heat kernel -- 3.4. Trace class estimates for the JLO integrand on manifolds with cylindrical ends -- 3.5. Estimates for b-traces -- 3.6. Estimates for the components of the entire b-Chern character -- Chapter 4. The Main Results -- 4.1. Asymptotic b-heat expansions -- 4.2. The Connes-Chern character of the relative Dirac class -- 4.3. Relative pairing formulæ and geometric consequences -- 4.4. Relation with the generalized APS pairing -- Bibliography -- Subject Index -- Notation Index.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Chern classes.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Boundary value problems.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Manifolds (Mathematics).
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Moscovici, Henri.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Pflaum, Markus J.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Lesch, Matthias
Title Connes-Chern Character for Manifolds with Boundary and Eta Cochains
Place, publisher, and date of publication Providence : American Mathematical Society,c2012
International Standard Book Number 9780821872963
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114495">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114495</a>
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