Abstract
A character-valued index is a generalization of the ordinary Dirac index to manifolds with nontrivial automorphism groups. A simple proof of the corresponding fixed-point theorem is presented which uses the techniques of supersymmetric quantum mechanics. This theorem relates the character-valued index to a topological integral of curvature forms on the fixed-point space of the automorphism in question.
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Communicated by A. Jaffe
Supported in part by NSF grant PHY-80/19754
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Goodman, M.W. Proof of character-valued index theorems. Commun.Math. Phys. 107, 391–409 (1986). https://doi.org/10.1007/BF01220996
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DOI: https://doi.org/10.1007/BF01220996