Spinors on Singular Spaces and the Topology of Causal Fermion Systems. (Record no. 11363)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04099nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC5788264 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240724113801.0 |
| 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 | 240724s2019 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470452575 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470436216 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC5788264 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL5788264 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1104707441 |
| 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 | QC793.5.F42 .F567 2019 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.36 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Finster, Felix. |
| 245 10 - TITLE STATEMENT | |
| Title | Spinors on Singular Spaces and the Topology of Causal Fermion Systems. |
| 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 | 2019. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (96 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 | Memoirs of the American Mathematical Society Series ; |
| Volume/sequential designation | v.259 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Basic Definitions and Simple Examples -- Chapter 3. Topological Structures -- 3.1. A Sheaf -- 3.2. A Topological Vector Bundle -- 3.3. A Bundle over a Topological Manifold -- 3.4. A Bundle over a Differentiable Manifold -- Chapter 4. Topological Spinor Bundles -- 4.1. Clifford Sections -- 4.2. Topological Obstructions -- 4.3. The Spin Group -- 4.4. Construction of Bundle Charts -- 4.5. Spin Structures -- Chapter 5. Further Examples -- 5.1. Compact Riemannian Spin Manifolds -- 5.2. Almost-Complex Structures on Riemannian Manifolds -- 5.3. Complex Structures on Riemannian Manifolds -- 5.4. Kähler Structures -- Chapter 6. Tangent Cone Measures and the Tangential Clifford Section -- 6.1. The Tangent Cone Measure -- 6.2. Construction of a Tangential Clifford Section -- 6.3. Construction of a Spin Structure -- Chapter 7. The Topology of Discrete and Singular Fermion Systems -- Chapter 8. Basic Examples -- 8.1. The Euclidean Plane -- 8.2. Two-Dimensional Minkowski Space -- 8.3. The Euclidean Plane with Chiral Asymmetry -- 8.4. The Spin Structure of the Euclidean Plane with Chiral Asymmetry -- 8.5. The Spin Structure of Two-Dimensional Minkowski Space -- Chapter 9. Spinors on Singular Spaces -- 9.1. Singularities of the Conformal Factor -- 9.2. Genuine Singularities of the Curvature Tensor -- 9.3. The Curvature Singularity of Schwarzschild Space-Time -- 9.4. A Lattice System with Non-Trivial Topology -- Acknowledgments -- Bibliography -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Causal fermion systems and Riemannian fermion systems are proposed as a framework for describing non-smooth geometries. In particular, this framework provides a setting for spinors on singular spaces. The underlying topological structures are introduced and analyzed. The connection to the spin condition in differential topology is worked out. The constructions are illustrated by many simple examples such as the Euclidean plane, the two-dimensional Minkowski space, a conical singularity, a lattice system as well as the curvature singularity of the Schwarzschild space-time. As further examples, it is shown how complex and Kähler structures can be encoded in Riemannian fermion systems. |
| 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 | Fermions. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Continuum mechanics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Field theory (Physics). |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kamran, Niky. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Finster, Felix |
| Title | Spinors on Singular Spaces and the Topology of Causal Fermion Systems |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2019 |
| International Standard Book Number | 9781470436216 |
| 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 | Memoirs of the American Mathematical Society Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5788264">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5788264</a> |
| Public note | Click to View |
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