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On Elliptic Genera and Foliations

Kefeng Liu·Xiaonan Ma·Weiping Zhang
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Abstract

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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Kefeng Liu, Xiaonan Ma, Weiping Zhang. 1999-12-21. On Elliptic Genera and Foliations. https://arxiv.org/abs/math/9912175

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