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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 analysed. The connection to the spin condition in differential topology is worked out.
The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space.The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.
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