On Elliptic Genera and Foliations

Details On Elliptic Genera and Foliations On Elliptic Genera and Foliations

1999-12-21

arxiv.org/abs/math/9912175v1

Mathematics

Differential Geometry

16 pages

Scientific paper

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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