The APS-index and the spectral flow

نویسندگان

چکیده

An equality between the spectral flow of a family $A$ self-adjoint Fredholm operators and index associated differential operator $\frac{d}{dt}-iA$ with Atiyah-Patodi-Singer-style boundary conditions is shown. This generalizes result by C.B\"ar A. Strohmaier used to show their Lorentzian version Atiyah-Patodi-Singer Index Theorem.

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ژورنال

عنوان ژورنال: Operators and Matrices

سال: 2021

ISSN: ['1848-9974', '1846-3886']

DOI: https://doi.org/10.7153/oam-2021-15-87