Softcover ISBN: | 978-1-4704-3621-6 |
Product Code: | MEMO/259/1251 |
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eBook ISBN: | 978-1-4704-5257-5 |
Product Code: | MEMO/259/1251.E |
List Price: | $81.00 |
MAA Member Price: | $72.90 |
AMS Member Price: | $48.60 |
Softcover ISBN: | 978-1-4704-3621-6 |
eBook: ISBN: | 978-1-4704-5257-5 |
Product Code: | MEMO/259/1251.B |
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MAA Member Price: | $145.80 $109.35 |
AMS Member Price: | $97.20 $72.90 |
Softcover ISBN: | 978-1-4704-3621-6 |
Product Code: | MEMO/259/1251 |
List Price: | $81.00 |
MAA Member Price: | $72.90 |
AMS Member Price: | $48.60 |
eBook ISBN: | 978-1-4704-5257-5 |
Product Code: | MEMO/259/1251.E |
List Price: | $81.00 |
MAA Member Price: | $72.90 |
AMS Member Price: | $48.60 |
Softcover ISBN: | 978-1-4704-3621-6 |
eBook ISBN: | 978-1-4704-5257-5 |
Product Code: | MEMO/259/1251.B |
List Price: | $162.00 $121.50 |
MAA Member Price: | $145.80 $109.35 |
AMS Member Price: | $97.20 $72.90 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 259; 2019; 83 ppMSC: Primary 53; Secondary 57
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.
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Table of Contents
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Chapters
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1. Introduction
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2. Basic Definitions and Simple Examples
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3. Topological Structures
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4. Topological Spinor Bundles
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5. Further Examples
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6. Tangent Cone Measures and the Tangential Clifford Section
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7. The Topology of Discrete and Singular Fermion Systems
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8. Basic Examples
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9. Spinors on Singular Spaces
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Additional Material
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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.
-
Chapters
-
1. Introduction
-
2. Basic Definitions and Simple Examples
-
3. Topological Structures
-
4. Topological Spinor Bundles
-
5. Further Examples
-
6. Tangent Cone Measures and the Tangential Clifford Section
-
7. The Topology of Discrete and Singular Fermion Systems
-
8. Basic Examples
-
9. Spinors on Singular Spaces