Abstract
For {∂ y },yε∈, a one parameter family of invertible Weyl operators of possibly non-zero index acting on spinors over an even dimensional compact manifoldX, we express the phase of the chiral determinant det ∂ †−∞ ∂∞ in terms of the η invariant of a Dirac operator acting on spinors over ℝ ×X.
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Communicated by A. Jaffe
Supported in part by NSF Grant No. PHY-82-15249
Supported in part by NSF Grant PHY 8605978 and the Robert A. Welch Foundation
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Della Pietra, S., Della Pietra, V. & Alvarez-Gaumé, L. The chiral determinant and the eta invariant. Commun.Math. Phys. 109, 691–700 (1987). https://doi.org/10.1007/BF01208963
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DOI: https://doi.org/10.1007/BF01208963