Rigidity and Vanishing Theorems in K-Theory I

Details Rigidity and Vanishing Theorems in K-Theory I Rigidity and Vanishing Theorems in K-Theory I

1999-12-14

arxiv.org/abs/math/9912108v1

Mathematics

K-Theory and Homology

44 page

Scientific paper

10.1016/S0764-4442(00)00155-5

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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