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Finster, Felix

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.

Date of publication of this fulltext: 22 Jun 2016 06:35
Monograph
DOI to cite this document: 10.5283/epub.33907


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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Details

Item typeMonograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Volume:6/2014
Date2014
InstitutionsMathematics > Prof. Dr. Felix Finster
Dewey Decimal Classification500 Science > 510 Mathematics
StatusUnknown
RefereedNo, this version has not been refereed yet (as with preprints)
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-339074
Item ID33907

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