Abstract
In this paper, the authors give a new proof of Block and Weinberger’s Bochner vanishing theorem built on direct computations in the K-theory of the localization algebra.
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Acknowledgements
The authors are grateful to Prof. Xiaoman Chen, Prof. Shengzhi Xu, Prof. Xiang Tang and Yi-Jun Yao for their guidance, and they also want to thank Prof. Zhizhang Xie and Prof. Guoliang Yu for their helpful comments.
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This work was supported by the National Natural Science Foundation of China (Nos. 11811530291, 11831006, 11771092).
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Zhang, X., Liu, Y. & Liu, H. Metrics with Positive Scalar Curvature at Infinity and Localization Algebra. Chin. Ann. Math. Ser. B 42, 173–198 (2021). https://doi.org/10.1007/s11401-021-0252-y
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DOI: https://doi.org/10.1007/s11401-021-0252-y