The chiral index of the fermionic signature operator

作者:Finster Felix*
来源:Mathematical Research Letters, 2017, 24(1): 37-65.
DOI:10.4310/mrl.2017.v24.n1.a3

摘要

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.

  • 出版日期2017

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