Spinors on Singular Spaces and the Topology of Causal Fermion Systems (Memoirs of the American Mathematical Society)

Finster, Felix/ Kamran, Niky

American Mathematical Society（2019/06発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 82 p.
• 言語 ENG
• 商品コード 9781470436216

Full Description

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 Kahler structures can be encoded in Riemannian fermion systems.

Contents

Introduction
Basic definitions and simple examples
Topological structures
Topological spinor bundles
Further examples
Tangent cone measures and the tangential Clifford section
The topology of discrete and singular fermion systems
Basic examples
Spinors on singular spaces
Bibliography