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The Chiral index of the fermionic signature operator

Finster, Felix (2014) The Chiral index of the fermionic signature operator. Preprintreihe der Fakultät Mathematik 6/2014, Working Paper.

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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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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2014
Institutions:Mathematics > Prof. Dr. Felix Finster
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:33907
Owner only: item control page

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