Higher Structures in Geometry and Physics (Record no. 59774)

MARC details
000 -LEADER
fixed length control field 04427nam a22005415i 4500
001 - CONTROL NUMBER
control field 978-0-8176-4735-3
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20251006084438.0
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 101125s2011 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780817647353
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 99780817647353
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-0-8176-4735-3
Source of number or code doi
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.55
Edition information 23
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.482
Edition information 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Cattaneo, Alberto S.
Relator term editor.
245 10 - TITLE STATEMENT
Title Higher Structures in Geometry and Physics
Medium [electronic resource] :
Remainder of title In Honor of Murray Gerstenhaber and Jim Stasheff /
Statement of responsibility, etc. edited by Alberto S. Cattaneo, Anthony Giaquinto, Ping Xu.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Boston :
Name of producer, publisher, distributor, manufacturer Birkhäuser Boston,
Date of production, publication, distribution, manufacture, or copyright notice 2011.
300 ## - PHYSICAL DESCRIPTION
Extent XV, 362p. 92 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 Progress in Mathematics ;
Volume/sequential designation 287
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Topics in Algebraic deformation theory -- Origins and breadth of the theory of higher homotopies -- The deformation philosophy, quantization and noncommutative space-time structures -- Differential geometry of Gerbes and differential forms -- Symplectic connections of Ricci type and star products -- Effective Batalin-Vilkovisky theories, equivariant configuration spaces and cyclic chains -- Noncommutative calculus and the Gauss-Manin connection -- The Lie algebra perturbation lemma -- Twisting Elements in Homotopy G-algebras -- Homological perturbation theory and homological mirror symmetry -- Categorification of acyclic cluster algebras: an introduction -- Poisson and symplectic functions in Lie algebroid theory -- The diagonal of the Stasheff polytope -- Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complex -- Applications de la bi-quantification a la théorie de Lie -- Higher homotopy Hopf algebras found: A ten year retrospective.
520 ## - SUMMARY, ETC.
Summary, etc. This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics- such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics- and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. The ideas of higher homotopies and algebraic deformation have a growing number of theoretical applications and have played a prominent role in recent mathematical advances. For example, algebraic versions of higher homotopies have led eventually to the proof of the formality conjecture and the deformation quantization of Poisson manifolds. As observed in deformations and deformation philosophy, a basic observation is that higher homotopy structures behave much better than strict structures. Each contribution in this volume expands on the ideas of Gerstenhaber and Stasheff. Higher Structures in Geometry and Physics is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures. Contributors: L. Breen, A.S. Cattaneo, M. Cahen, V.A. Dolgushev, G. Felder, A. Giaquinto, S. Gutt, J. Huebschmann, T. Kadeishvili, H. Kajiura, B. Keller, Y. Kosmann-Schwarzbach, J.-L. Loday, S.A. Merkulov, D. Sternheimer, D.E. Tamarkin, C. Torossian, B.L. Tsygan, S. Waldmann, R.N. Umble.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element GEOMETRY, ALGEBRAIC.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element GROUP THEORY.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element TOPOLOGICAL GROUPS.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICAL PHYSICS.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element TOPOLOGICAL GROUPS, LIE GROUPS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element GROUP THEORY AND GENERALIZATIONS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element ALGEBRAIC GEOMETRY.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICAL METHODS IN PHYSICS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element APPLICATIONS OF MATHEMATICS.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Giaquinto, Anthony.
Relator term editor.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Xu, Ping.
Relator term editor.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9780817647346
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Progress in Mathematics ;
Volume/sequential designation 287
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-0-8176-4735-3">http://dx.doi.org/10.1007/978-0-8176-4735-3</a>
Public note Ver el texto completo en las instalaciones del CICY
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-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Libros electrónicos
Holdings
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 Date last seen Price effective from Koha item type
  Dewey Decimal Classification     Libro electrónico CICY CICY Libro electrónico 06.10.2025   512.55 | 512.482 06.10.2025 06.10.2025 Libros electrónicos