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On elliptic genera and foliations

Kefeng Liu Xiaonan Ma Weiping Zhang

Differential Geometry mathscidoc:1912.43085

arXiv preprint math/9912175, 1999.12
We prove several vanishing theorems for a class of generalized elliptic genera on foliated manifolds, by using classical equivariant index theory. The main techniques are the use of the Jacobi theta-functions and the construction of a new class of elliptic operators associated to foliations.
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@inproceedings{kefeng1999on,
  title={On elliptic genera and foliations},
  author={Kefeng Liu, Xiaonan Ma, and Weiping Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111445413150645},
  booktitle={arXiv preprint math/9912175},
  year={1999},
}
Kefeng Liu, Xiaonan Ma, and Weiping Zhang. On elliptic genera and foliations. 1999. In arXiv preprint math/9912175. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111445413150645.
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