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Twisted Morse Complexes (Record no. 64692)

MARC details
000 -LEADER
fixed length control field	03717nam a22005895i 4500
001 - CONTROL NUMBER
control field	978-3-031-71616-4
003 - CONTROL NUMBER IDENTIFIER
control field	DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20251030113257.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field	cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	241102s2024 sz \| s \|\|\|\| 0\|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9783031716164
--	978-3-031-71616-4
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code	10.1007/978-3-031-71616-4
Source of number or code	doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number	QA843-871
072 #7 - SUBJECT CATEGORY CODE
Subject category code	GPFC
Source	bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code	MAT034000
Source	bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code	GPFC
Source	thema
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Banyaga, Augustin.
Relator term	author.
Authority record control number	(orcid)0000-0003-2436-5496
--	https://orcid.org/0000-0003-2436-5496
Relator code	aut
--	http://id.loc.gov/vocabulary/relators/aut
9 (RLIN)	86979
245 10 - TITLE STATEMENT
Title	Twisted Morse Complexes
Medium	[electronic resource] :
Remainder of title	Morse Homology and Cohomology with Local Coefficients /
Statement of responsibility, etc.	by Augustin Banyaga, David Hurtubise, Peter Spaeth.
250 ## - EDITION STATEMENT
Edition statement	1st ed. 2024.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture	Cham :
Name of producer, publisher, distributor, manufacturer	Springer Nature Switzerland :
--	Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice	2024.
300 ## - PHYSICAL DESCRIPTION
Extent	VIII, 158 p. 58 illus.
Other physical details	online resource.
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
347 ## - DIGITAL FILE CHARACTERISTICS
File type	text file
Encoding format	PDF
Source	rda
490 1# - SERIES STATEMENT
Series statement	Lecture Notes in Mathematics,
International Standard Serial Number	1617-9692 ;
Volume/sequential designation	2361
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note	- 1. Introduction -- 2. The Morse Complex with Local Coefficients -- 3. The Homology Determined by the Isomorphism Class of G -- 4. Singular and CW-Homology with Local Coefficients -- 5. Twisted Morse Cohomology and Lichnerowicz Cohomology -- 6. Applications and Computations.
520 ## - SUMMARY, ETC.
Summary, etc.	This book gives a detailed presentation of twisted Morse homology and cohomology on closed finite-dimensional smooth manifolds. It contains a complete proof of the Twisted Morse Homology Theorem, which says that on a closed finite-dimensional smooth manifold the homology of the Morse–Smale–Witten chain complex with coefficients in a bundle of abelian groups G is isomorphic to the singular homology of the manifold with coefficients in G. It also includes proofs of twisted Morse-theoretic versions of well-known theorems such as Eilenberg's Theorem, the Poincaré Lemma, and the de Rham Theorem. The effectiveness of twisted Morse complexes is demonstrated by computing the Lichnerowicz cohomology of surfaces, giving obstructions to spaces being associative H-spaces, and computing Novikov numbers. Suitable for a graduate level course, the book may also be used as a reference for graduate students and working mathematicians or physicists.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element
9 (RLIN)	69683
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element
9 (RLIN)	69682
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element
9 (RLIN)	73090
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element
9 (RLIN)	69685
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name	Hurtubise, David.
Relator term	author.
Authority record control number	(orcid)0000-0003-4255-4776
--	https://orcid.org/0000-0003-4255-4776
Relator code	aut
--	http://id.loc.gov/vocabulary/relators/aut
9 (RLIN)	86980
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name	Spaeth, Peter.
Relator term	author.
Authority record control number	(orcid)0000-0001-7674-4717
--	https://orcid.org/0000-0001-7674-4717
Relator code	aut
--	http://id.loc.gov/vocabulary/relators/aut
9 (RLIN)	86981
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element	SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title	Springer Nature eBook
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information	Printed edition:
International Standard Book Number	9783031716157
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information	Printed edition:
International Standard Book Number	9783031716171
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title	Lecture Notes in Mathematics,
International Standard Serial Number	1617-9692 ;
Volume number/sequential designation	2361
9 (RLIN)	75434
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier	<a href="https://doi.org/10.1007/978-3-031-71616-4">https://doi.org/10.1007/978-3-031-71616-4</a>
912 ## -
--	ZDB-2-SMA
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--	ZDB-2-SXMS
912 ## -
--	ZDB-2-LNM

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