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arxiv: math/9912108 · v1 · pith:FZPHWGE4new · submitted 1999-12-14 · 🧮 math.KT · math.AT· math.DG

Rigidity and Vanishing Theorems in K-Theory I

Kefeng Liu , Xiaonan Ma , Weiping Zhang This is my paper
classification 🧮 math.KT math.ATmath.DG
keywords k-theoryequivariantrigiditytheoremsvanishingactioncircleestablish
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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.

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