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Banach manifold structure and infinite-dimensional analysis for causal fermion systems

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Finster, Felix ; Lottner, Magdalena
License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 08 Jun 2021 05:16

This publication is part of the DEAL contract with Springer.


A mathematical framework is developed for the analysis of causal fermion systems in the infinite-dimensional setting. It is shown that the regular spacetime point operators form a Banach manifold endowed with a canonical Frechet-smooth Riemannian metric. The so-called expedient differential calculus is introduced with the purpose of treating derivatives of functions on Banach spaces which are ...


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