On the rigidity theorems of Witten

  title={On the rigidity theorems of Witten},
  author={Raoul Bott and Clifford H. Taubes},
  journal={Journal of the American Mathematical Society},
  • R. Bott, C. Taubes
  • Published 1989
  • Mathematics
  • Journal of the American Mathematical Society
In this paper we prove the rigidity theorems predicted by Witten in 1986, about the index of certain elliptic operators on manifolds with an S1 action [W]. Witten's insight was the culmination of an interesting interchange of ideas between him and Hopkins, Landweber, Ochanine, and Stong. For the detailed history, we refer the reader to [La]. The present account is essentially a reinterpretation of the second author's (Taubes' [T]) original proof of the theorem. The senior author's contribution… 

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