Topology and Quantum Theory in Interaction. (Record no. 6259)
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| fixed length control field | 06432nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC5571093 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240724113421.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2018 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470449414 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470442439 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC5571093 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL5571093 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1065020893 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC174.45.A1 T676 2018 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 530.143 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ayala, David. |
| 245 10 - TITLE STATEMENT | |
| Title | Topology and Quantum Theory in Interaction. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2018. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2018. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (274 pages) |
| 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 |
| 490 1# - SERIES STATEMENT | |
| Series statement | Contemporary Mathematics Series ; |
| Volume/sequential designation | v.718 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Contents -- Preface -- Introduction -- Geometry and physics: An overview -- 1. Dirac quantization -- 2. Missed opportunities -- 3. Yang-Mills theory and connections on fiber bundles -- 4. Unreasonable effectiveness -- 5. Anomalies and index theory -- 6. Donaldson invariants -- 7. Topological quantum field theory -- 8. Seiberg-Witten theory -- 9. Conclusions -- Acknowledgments -- References -- An introduction to spin systems for mathematicians -- Introduction -- 1. General principles of quantum mechanics: a reminder -- 2. A few words about field theories -- 3. From field theories to spin systems -- 4. An example: The Heisenberg spin chain and integrability -- 5. Questions to ask about systems, or, what is a phase of matter? -- 6. Stacking -- 7. Topological order and the toric code -- Acknowledgments -- References -- The Arf-Brown TQFT of pin⁻ surfaces -- 1. Introduction -- 2. Preliminaries -- 2.1. Clifford algebras, pin groups, and pin structures -- 2.2. Homotopy theory -- 3. The Arf-Brown invariant of a pin\textsuperscript{-} surface -- 3.1. Intersection-theoretic descriptions of the invariants -- 3.2. Index-theoretic description of the invariants -- 3.3. -theoretic descriptions of the invariants -- 4. Invertible TQFTs via stable homotopy theory -- 4.1. What is a (2D) invertible TQFT? -- 4.2. The homotopy hypothesis and stable 2-types -- 4.3. Classifying invertible TQFTs up to isomorphism -- 5. The Arf-Brown TQFT -- 6. The time-reversal-invariant Majorana chain -- 6.1. Symmetry-protected topological phases -- 6.2. Combinatorial spin and pin structures -- 6.3. Defining the Majorana chain -- 6.4. The low-energy TQFT -- Acknowledgments -- References -- A guide for computing stable homotopy groups -- 1. Introduction and organization -- 2. A working guide to spectra -- 3. The Steenrod algebra -- 4. The Adams spectral sequence. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5. Examples from the classification problems -- Acknowledgments -- References -- Flagged higher categories -- Introduction -- 1. Comparing Segal sheaves and flagged higher categories -- 2. Univalent-completion -- 3. Using the formula to prove the main result -- Acknowledgments -- References -- How to derive Feynman diagrams for finite-dimensional integrals directly from the BV formalism -- 0. Introduction -- 1. Example: Wick's lemma -- 2. Example: Counting trivalent graphs -- 3. The general case: From homological algebra to diagrammatics -- 4. Motivation: Finite dimensional integrals -- Acknowledgments -- References -- Homotopy RG flow and the non-linear -model -- 1. Introduction -- 2. The classical -model -- 3. One-loop quantization -- 4. -function generalities -- 5. The one-loop -function for the -model -- Appendix A. Homotopy renormalization group flow -- Acknowledgments -- References -- The holomorphic bosonic string -- 1. Introduction -- 2. The classical holomorphic bosonic string -- 3. Deformations of the theory and string backgrounds -- 4. Quantizing the holomorphic bosonic string on a disk -- 5. OPE and the string vertex algebra -- 6. The holomorphic string on closed Riemann surfaces -- 7. Looking ahead: Curved targets -- Appendix A. Calculation of anomaly -- Acknowledgments -- References -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This volume contains the proceedings of the NSF-CBMS Regional Conference on Topological and Geometric Methods in QFT, held from July 31-August 4, 2017, at Montana State University in Bozeman, Montana. In recent decades, there has been a movement to axiomatize quantum field theory into a mathematical structure. In a different direction, one can ask to test these axiom systems against physics. Can they be used to rederive known facts about quantum theories or, better yet, be the framework in which to solve open problems? Recently, Freed and Hopkins have provided a solution to a classification problem in condensed matter theory, which is ultimately based on the field theory axioms of Graeme Segal. Papers contained in this volume amplify various aspects of the Freed-Hopkins program, develop some category theory, which lies behind the cobordism hypothesis, the major structure theorem for topological field theories, and relate to Costello's approach to perturbative quantum field theory. Two papers on the latter use this framework to recover fundamental results about some physical theories: two-dimensional sigma-models and the bosonic string. Perhaps it is surprising that such sparse axiom systems encode enough structure to prove important results in physics. These successes can be taken as encouragement that the axiom systems are at least on the right track toward articulating what a quantum field theory is. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Quantum field theory-Mathematics-Congresses. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Freed, Daniel S. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Grady, Ryan E. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Ayala, David |
| Title | Topology and Quantum Theory in Interaction |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2018 |
| International Standard Book Number | 9781470442439 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Contemporary Mathematics Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5571093">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5571093</a> |
| Public note | Click to View |
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