Microlocal Lefschetz classes of graph trace kernels

Abstract

In this paper, we define the notion of graph trace kernels as a generalization of trace kernels. We associate a microlocal Lefschetz class with a graph trace kernel and prove that this class is functorial with respect to the composition of kernels. We apply graph trace kernels to the microlocal Lefschetz fixed point formula for constructible sheaves.Comment: 18 pages, revised, to appear in Publ. RIM