MARC details
| 000 -LEADER |
|---|
| fixed length control field |
05440cam a22005775i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
vtls000357214 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
UG-KaMUL |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20250614173804.0 |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
|---|
| LC control number |
2019-753265 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319679372 |
| 024 ## - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.1007/978-3-319-67937-2 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
21735570 |
| 039 ## - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] |
|---|
| -- |
202408221611 |
| -- |
958 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
DLC |
| Language of cataloging |
eng |
| Description conventions |
pn |
| -- |
rda |
| Transcribing agency |
DLC |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
530.12 |
| Edition information |
23 |
| 092 ## - LOCALLY ASSIGNED DEWEY CALL NUMBER (OCLC) |
|---|
| Classification number |
530.12 CAR |
| 097 ## - |
|---|
| -- |
QC173.96-174.52 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Carfora, Mauro, |
| Relator term |
author. |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Quantum Triangulations : |
| Remainder of title |
Moduli Space, Quantum Computing, Non-Lin ear Sigma Models and Ricci Flow / |
| Statement of responsibility, etc. |
by Mauro Carfora, Annalisa Marzuol i. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
2nd ed. 2017. |
| 264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Cham : |
| Name of producer, publisher, distributor, manufacturer |
Springer International Publishing : |
| -- |
Imprint: Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2017. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (XX, 392 pages 113 illustrations, 92 illustrations in color.) |
| 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 ## - SERIES STATEMENT |
|---|
| Series statement |
Lecture Notes in Physics, |
| International Standard Serial Number |
0075-8450 ; |
| Volume/sequential designation |
942 |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Preface -- Acknowledgements -- Triangulated Surfaces and Polyhedral Structures -- Singular Euclidean Structures and Riemann Surfaces -- Pol yhedral Surfaces and the Weil-Petersson Form -- The Quantum Geometry of Polyhedral Surfaces: Non-Linear [sigma] Model and Ricci Flow -- The Qu antum Geometry of Polyhedral Surfaces: Variations on Strings and All Th at -- State Sum Models and Observables -- State Sum Models and Observab les -- Combinatorial Framework for Topological Quantum Computing -- App endix A: Riemannian Geometry -- Appendix B: A Capsule of Moduli Space T heory -- Appendix C: Spectral Theory on Polyhedral Surfaces -- Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This book discusses key conceptual aspects and explores the connecti on between triangulated manifolds and quantum physics, using a set of c ase studies ranging from moduli space theory to quantum computing to pr ovide an accessible introduction to this topic. Research on polyhedral manifolds often reveals unexpected connections between very distinct as pects of mathematics and physics. In particular, triangulated manifolds play an important role in settings such as Riemann moduli space theory , strings and quantum gravity, topological quantum field theory, conden sed matter physics, critical phenomena and complex systems. Not only do they provide a natural discrete analogue to the smooth manifolds on wh ich physical theories are typically formulated, but their appearance is also often a consequence of an underlying structure that naturally cal ls into play non-trivial aspects of representation theory, complex anal ysis and topology in a way that makes the basic geometric structures of the physical interactions involved clear. This second edition further emphasizes the essential role that triangulations play in modern mathem atical physics, with a new and highly detailed chapter on the geometry of the dilatonic non-linear sigma model and its subtle and many-faceted connection with Ricci flow theory. This connection is treated in depth , pinpointing both the mathematical and physical aspects of the perturb ative embedding of the Ricci flow in the renormalization group flow of non-linear sigma models. The geometry of the dilaton field is discussed from a novel standpoint by using polyhedral manifolds and Riemannian m etric measure spaces, emphasizing their role in connecting non-linear s igma models' effective action to Perelman's energy-functional. No other published account of this matter is so detailed and informative. This new edition also features an expanded appendix on Riemannian geometry, and a rich set of new illustrations to help the reader grasp the more d ifficult points of the theory. The book offers a valuable guide for all mathematicians and theoretical physicists working in the field of quan tum geometry and its applications. |
| 588 ## - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Description based on publisher-supplied MARC data. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Complex manifolds. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Gravitation. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Manifolds (Mathematics). |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematical physics. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Physics. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Quantum physics. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Quantum Physics. |
| Authority record control number or standard number |
https://scigraph.springernature.com/ontologies/p roduct-market-codes/P19080 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Classical and Quantum Gravitation, Relativity Theory. |
| Authority record control number or standard number |
https://sci graph.springernature.com/ontologies/product-market-codes/P19070 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Manifolds and Cell Complexes (incl. Diff.Topology). |
| Authority record control number or standard number |
https://scigr aph.springernature.com/ontologies/product-market-codes/M28027 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematical Applications in the Physical Sciences. |
| Authority record control number or standard number |
https://scigr aph.springernature.com/ontologies/product-market-codes/M13120 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematical Physics. |
| Authority record control number or standard number |
https://scigraph.springernature.com/ontolog ies/product-market-codes/M35000 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Numerical and Computational Physics, Simulation. |
| Authority record control number or standard number |
https://scigraph .springernature.com/ontologies/product-market-codes/P19021 |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Marzuoli, Annalisa, |
| Relator term |
author. |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| Title |
Quantum triangulations |
| International Standard Book Number |
9783319679365 |
| Record control number |
(DLC) 2017955946 |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9783319679365 |
| 776 ## - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9783319679389 |
| 830 ## - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Lecture Notes in Physics, |
| International Standard Serial Number |
0075-8450 ; |
| Volume/sequential designation |
942 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books - Open Access |