arXiv:math/9912175 Abstract

arXiv:math/9912175 [math.DG]Abstract References Reviews Resources

On Elliptic Genera and Foliations

Published 1999-12-21Version 1

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.

Comments: 16 pages

Categories: math.DG, math.AT

Subjects: 14D05, 57R91

Keywords: foliations, classical equivariant index theory, main techniques, generalized elliptic genera, elliptic operators

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