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20140310151441.0 |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780817647353 |
|
978-0-8176-4735-3 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA252.3 |
|
Classification number |
QA387 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.55 |
Edition number |
23 |
|
Classification number |
512.482 |
Edition number |
23 |
264 #1 - |
-- |
Boston : |
-- |
Birkhäuser Boston, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Cattaneo, Alberto S. |
Relator term |
editor. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
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. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XV, 362p. 92 illus. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Progress in Mathematics ; |
Volume number/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 as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Geometry, algebraic. |
|
Topical term or geographic name as entry element |
Group theory. |
|
Topical term or geographic name as entry element |
Topological Groups. |
|
Topical term or geographic name as entry element |
Mathematical physics. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Topological Groups, Lie Groups. |
|
Topical term or geographic name as entry element |
Group Theory and Generalizations. |
|
Topical term or geographic name as entry element |
Algebraic Geometry. |
|
Topical term or geographic name as entry element |
Mathematical Methods in Physics. |
|
Topical term or geographic name as entry element |
Applications of Mathematics. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Giaquinto, Anthony. |
Relator term |
editor. |
|
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 |
Display text |
Printed edition: |
International Standard Book Number |
9780817647346 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-8176-4735-3 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |