Proof of character-valued index theorems
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- Goodman, M.W. Commun.Math. Phys. (1986) 107: 391. doi:10.1007/BF01220996
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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.