Quantum riemannian geometry / (Record no. 2399)

MARC details
000 -LEADER
fixed length control field 02870cam a2200313Ia 4500
003 - CONTROL NUMBER IDENTIFIER
control field OCoLC
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field ta
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 210520s2020 sz a 000 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783030302962
International Standard Book Number 3030302962
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1251847641
040 ## - CATALOGING SOURCE
Original cataloging agency TULIB
Language of cataloging eng
Transcribing agency TULIB
Modifying agency TULIB
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA641
Item number .B444 2020
100 0# - MAIN ENTRY--PERSONAL NAME
Personal name Beggs, Edwin J.
245 10 - TITLE STATEMENT
Title Quantum riemannian geometry /
Statement of responsibility, etc. Edwin J. Beggs, Shahn Majid.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Cham :
Name of publisher, distributor, etc. Springer,
Date of publication, distribution, etc. 2020
300 ## - PHYSICAL DESCRIPTION
Extent xvi, 809 p. :
Other physical details ill.
490 1# - SERIES STATEMENT
Series statement Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics;
Volume/sequential designation vol. 355
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical reference and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Differentials On An Algebra -- Hopf Algebras and Their Bicovariant Calculi -- Vector Bundles and Connections -- Curvature, Cohomology and Sheaves -- Quantum Principal Bundles and Framings -- Vector Fields and Differential Operators -- Quantum Complex Structures -- Quantum Riemannian Structures -- Quantum Spacetime -- Solutions -- References -- Index.
520 ## - SUMMARY, ETC.
Summary, etc. "This book provides a comprehensive account of a modern generalisation of differential geometry in which coordinates need not commute. This requires a reinvention of differential geometry that refers only to the coordinate algebra, now possibly noncommutative, rather than to actual points. Such a theory is needed for the geometry of Hopf algebras or quantum groups, which provide key examples, as well as in physics to model quantum gravity effects in the form of quantum spacetime. The mathematical formalism can be applied to any algebra and includes graph geometry and a Lie theory of finite groups. Even the algebra of 2 x 2 matrices turns out to admit a rich moduli of quantum Riemannian geometries. The approach taken is a ̀bottom up' one in which the different layers of geometry are built up in succession, starting from differential forms and proceeding up to the notion of a quantum ̀Levi-Civita' bimodule connection, geometric Laplacians and, in some cases, Dirac operators.The book also covers elements of Connes' approach to the subject coming from cyclic cohomology and spectral triples. Other topics include various other cohomology theories, holomorphic structures and noncommutative D-modules. A unique feature of the book is its constructive approach and its wealth of examples drawn from a large body of literature in mathematical physics, now put on a firm algebraic footing. Including exercises with solutions, it can be used as a textbook for advanced courses as well as a reference for researchers." -- Prové de l'editor.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Geometry, Differential.
Topical term or geographic name entry element Gravitation.
Topical term or geographic name entry element Mathematical physics.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Majid, Shahn.
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Grundlehren der mathematischen Wissenschaften ;
Volume/sequential designation vol. 355.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Permanent Location Current Location Shelving location Date acquired Full call number Barcode Date last seen Price effective from Koha item type
        Punsarn Library Punsarn Library General Stacks 17/06/2021 QA641 .B444 2020 PNLIB21062212 17/06/2021 17/06/2021 Books