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Gravitational anomaly cancellation and modular invariance

Fei Han Kefeng Liu

Mathematical Physics mathscidoc:1912.43110

arXiv preprint arXiv:1007.5295, 2010.7
In this paper, by combining modular forms and characteristic forms, we obtain general anomaly cancellation formulas of any dimension. For 4 k+ 2 dimensional manifolds, our results include the gravitational anomaly cancellation formulas of Alvarez-Gaum and Witten in dimensions 2, 6 and 10 (\cite {AW}) as special cases. In dimension 4 k+ 2, we derive anomaly cancellation formulas for index gerbes. In dimension 4 k+ 2, we obtain certain results about eta invariants, which are interesting in spectral geometry.
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@inproceedings{fei2010gravitational,
  title={Gravitational anomaly cancellation and modular invariance},
  author={Fei Han, and Kefeng Liu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111612903104670},
  booktitle={arXiv preprint arXiv:1007.5295},
  year={2010},
}
Fei Han, and Kefeng Liu. Gravitational anomaly cancellation and modular invariance. 2010. In arXiv preprint arXiv:1007.5295. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111612903104670.
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