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Rigidity and Vanishing Theorems in K-Theory I

arXiv:math/9912108 · doi:10.1016/S0764-4442(00)00155-5

Abstract

In this paper, we first establish a K-theory version of the equivariant family index theorem for a circle action, then use it to prove several rigidity and vanishing theorems on the equivariant K-theory level.

44 page