## $$S^ 1$$-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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### References:

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