Rigidity and Vanishing Theorems in K-Theory I
K-Theory and Homology
2012-06-27 v1 Algebraic Topology
Differential Geometry
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.
Cite
@article{arxiv.math/9912108,
title = {Rigidity and Vanishing Theorems in K-Theory I},
author = {Kefeng Liu and Xiaonan Ma and Weiping Zhang},
journal= {arXiv preprint arXiv:math/9912108},
year = {2012}
}
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44 page