Microlocal Lefschetz Classes of Graph Trace Kernels

  • Yuichi Ike

    University of Tokyo, Japan

Abstract

In this paper, we de fine 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.

Cite this article

Yuichi Ike, Microlocal Lefschetz Classes of Graph Trace Kernels. Publ. Res. Inst. Math. Sci. 52 (2016), no. 1, pp. 83–101

DOI 10.4171/PRIMS/175