Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Spinors on Singular Spaces and the Topology of Causal Fermion Systems
 
Felix Finster Universität Regensburg, Regensburg, Germany
Niky Kamran McGill University, Montreal, Canada
Spinors on Singular Spaces and the Topology of Causal Fermion Systems
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
Spinors on Singular Spaces and the Topology of Causal Fermion Systems
Click above image for expanded view
Spinors on Singular Spaces and the Topology of Causal Fermion Systems
Felix Finster Universität Regensburg, Regensburg, Germany
Niky Kamran McGill University, Montreal, Canada
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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2592019; 83 pp
    MSC: 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.

  • Table of Contents
     
     
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2592019; 83 pp
MSC: 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.

  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.