On Elliptic Genera and Foliations
Differential Geometry
2007-05-23 v1 Algebraic Topology
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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Cite
@article{arxiv.math/9912175,
title = {On Elliptic Genera and Foliations},
author = {Kefeng Liu and Xiaonan Ma and Weiping Zhang},
journal= {arXiv preprint arXiv:math/9912175},
year = {2007}
}
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16 pages