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Higher Complex Torsion and the Framing Principle. (Record no. 69783)

MARC details
000 -LEADER
fixed length control field 03590nam a22004693i 4500
001 - CONTROL NUMBER
control field EBC3114252
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124604.0
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 240724s2005 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470404369
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821837733
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114252
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114252
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11039871
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922981786
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 QA613.4 -- .I38 2005eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510 s;514/.72
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Igusa, Kiyoshi.
245 10 - TITLE STATEMENT
Title Higher Complex Torsion and the Framing Principle.
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 2005.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2005.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (114 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.177
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Contents -- Introduction -- 0.1. Higher Franz-Reidemeister torsion -- 0.2. Construction of τ[sub(k)] -- 0.3. Framing Principle -- 0.4. Complex torsion -- Chapter 1. Complex torsion -- 1.1. Definition for closed AC fibers -- 1.2. Generalized Miller-Morita-Mumford classes -- 1.3. Complex Framing Principle -- 1.4. Nonempty boundary case -- Chapter 2. Definition of higher FR-torsion -- 2.1. Generalized Morse functions -- 2.2. Families of chain complexes -- 2.3. Monomial functors -- 2.4. Filtered chain complexes -- 2.5. Subfunctors -- 2.6. The Whitehead category -- 2.7. Definition in acyclic case -- 2.8. Families of matrices as flat superconnections -- 2.9. Independence of birth-death points -- 2.10. Positive suspension lemma -- 2.11. Definition in upper triangular case -- Chapter 3. Properties of higher FR-torsion -- 3.1. Basic properties -- 3.2. Suspension Theorem -- 3.3. Additivity, Splitting Lemma -- 3.4. Applications of the Splitting Lemma -- 3.5. Local equivalence lemma -- 3.6. Product formula -- 3.7. Transfer for coverings -- 3.8. More transfer formulas -- Chapter 4. The Framing Principle -- 4.1. Statement for Morse bundles -- 4.2. General statement -- 4.3. Push-down/transfer -- 4.4. The Framing Principle -- Chapter 5. Proof of the Framing Principle -- 5.1. Transfer theorem -- 5.2. Stratified deformation lemma -- 5.3. Proof of transfer theorem -- 5.4. Proof of Framing Principle -- Chapter 6. Applications of the Framing Principle -- 6.1. Torelli group -- 6.2. Even dimensional fibers -- 6.3. Unoriented fibers -- 6.4. Vertical normal disk bundle -- Chapter 7. The Stability Theorem -- 7.1. Definitions -- 7.2. Stability for C(M) -- 7.3. Involution -- 7.4. Disks and spheres -- 7.5. Relation to higher torsion -- Bibliography.
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 Reidemeister torsion.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differentiable mappings.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Diffeomorphisms.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Igusa, Kiyoshi
Title Higher Complex Torsion and the Framing Principle
Place, publisher, and date of publication Providence : American Mathematical Society,c2005
International Standard Book Number 9780821837733
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=3114252">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114252</a>
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