The Adams spectral sequence for topological modular forms / (Record no. 39846)

MARC details
000 -LEADER
fixed length control field 03162cam a2200517 i 4500
001 - CONTROL NUMBER
control field on1242021766
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240409130607.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 210305t20212021riua f b 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2021004452
015 ## - NATIONAL BIBLIOGRAPHY NUMBER
National bibliography number GBC1B7922
Source bnb
016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER
Record control number 020272262
Source Uk
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470456740
Qualifying information hardcover
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1470456745
Qualifying information hardcover
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470469580
Qualifying information softcover
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1470469588
Qualifying information softcover
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781470465636
Qualifying information electronic book
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier UKMGB
System control number 020272262
029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC)
OCLC library identifier AU@
System control number 000068906547
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1242021766
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Language of cataloging eng
Description conventions rda
Transcribing agency DLC
042 ## - AUTHENTICATION CODE
Authentication code pcc
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.23
Item number B894a
084 ## - OTHER CLASSIFICATION NUMBER
Classification number 18G40
-- 55N34
-- 55N35
-- 55P42
-- 55P43
-- 55Q45
-- 55Q51
-- 55T05
-- 55T15
Number source msc
090 ## - IMPA CODE FOR CLASSIFICATION SHELVES
IMPA CODE FOR CLASSIFICATION SHELVES Topologia
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bruner, R. R.
Fuller form of name (Robert Ray),
Dates associated with a name 1950-
Relator term author.
9 (RLIN) 42307
245 14 - TITLE STATEMENT
Title The Adams spectral sequence for topological modular forms /
Statement of responsibility, etc. Robert R. Bruner, John Rognes.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence, Rhode Island :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice [2021]
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2021
300 ## - PHYSICAL DESCRIPTION
Extent xix, 690 pages :
Other physical details illustrations (some color) ;
Dimensions 26 cm.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term unmediated
Media type code n
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term volume
Carrier type code nc
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Mathematical surveys and monographs,
International Standard Serial Number 0076-5376 ;
Volume/sequential designation Volume 253
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references (pages 675-682) and index.
520 ## - SUMMARY, ETC.
Summary, etc. "The connective topological modular forms spectrum, tmf, is in a sense initial among elliptic spectra, and as such is an important link between the homotopy groups of spheres and modular forms. A primary goal of this volume is to give a complete account, with full proofs, of the homotopy of tmf and several tmf-module spectra by means of the classical Adams spectral sequence, thus verifying, correcting, and extending existing approaches. In the process, folklore results are made precise and generalized. Anderson and Brown-Comenetz duality, and the corresponding dualities in homotopy groups, are carefully proved. The volume also includes an account of the homotopy groups of spheres through degree 44, with complete proofs, except that the Adams conjecture is used without proof. Also presented are modern stable proofs of classical results which are hard to extract from the literature. Tools used in this book include a multiplicative spectral sequence generalizing a construction of Davis and Mahowald, and computer software which computes the cohomology of modules over the Steenrod algebra and products therein. Techniques from commutative algebra are used to make the calculation precise and finite. The H∞ ring structure of the sphere and of tmf are used to determine many differentials and relations."
Assigning source Provided by publisher.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Algebra, Homological.
9 (RLIN) 43544
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Homology theory.
9 (RLIN) 43696
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Adams spectral sequences.
9 (RLIN) 36980
697 ## - LOCAL SUBJECT
Linkage 40
Local Subject Topologia
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Rognes, John,
Relator term author.
9 (RLIN) 2099
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Mathematical surveys and monographs ;
Volume/sequential designation no. 253.
International Standard Serial Number 0076-5376
9 (RLIN) 40346
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Books
Suppress in OPAC No
948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN)
h (OCLC) NO HOLDINGS IN P5A - 85 OTHER HOLDINGS
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection Home library Current library Shelving location Date acquired Total Checkouts Full call number Barcode Date last seen Copy number Price effective from Koha item type
    Dewey Decimal Classification     Livros (Books) Castorina Castorina Estantes Abertas (Open Shelves) 2023-04-20   514.23 B895a 2021 IMPA 39063000808647 2023-04-20 1 2023-04-20 Books
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