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\(S^ 1\)-actions and elliptic genera. (English) Zbl 0683.58043
From the author’s abstract: A proof is given of Witten’s conjectures for the rigidity of the index of the Dirac-Ramond operator on the loop space of a spin manifold which admits an \(S^ 1\)-symmetry.
Reviewer: N.Jacob

MSC:
58J20 Index theory and related fixed-point theorems on manifolds
58J26 Elliptic genera
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