On Elliptic Genera and Foliations

1999/12/21 by Kefeng Liu, Liu, Kefeng, Xiaonan Ma +3
Mathematics · #14D05 #57R91 #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #math.AT #math.DG #msc:14D05 #msc:57R91

paper · pdf · doi:10.48550/arxiv.math/9912175

16 pages

arxiv created 1999/12/21 · arxiv updated 2009/11/30

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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