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arXiv · 1404.6625

The Chiral Index of the Fermionic Signature Operator

Felix Finster
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Abstract

We define an index of the fermionic signature operator on even-dimensional globally hyperbolic spin manifolds of finite lifetime. The invariance of the index under homotopies is studied. The definition is generalized to causal fermion systems with a chiral grading. We give examples of space-times and Dirac operators thereon for which our index is non-trivial.

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Felix Finster. 2015-09-08. The Chiral Index of the Fermionic Signature Operator. https://doi.org/10.4310/mrl.2017.v24.n1.a3

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