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Dirac Operators Coupled to Vector Potentials

M. F. Atiyah and I. M. Singer
Proceedings of the National Academy of Sciences of the United States of America
Vol. 81, No. 8, [Part 2: Physical Sciences] (Apr. 15, 1984), pp. 2597-2600
Stable URL: http://www.jstor.org/stable/23378
Page Count: 4
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Dirac Operators Coupled to Vector Potentials
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Abstract

Characteristic classes for the index of the Dirac family [Note: See the image of page 2597 for this formatted text] ∂ A are computed in terms of differential forms on the orbit space of vector potentials under gauge transformations. They represent obstructions to the existence of a covariant Dirac propagator. The first obstruction is related to a chiral anomaly.

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