On Elliptic Genera and Foliations
Kefeng Liu, Xiaonan Ma, Weiping Zhang
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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