Microlocal Study of Lefschetz Fixed Point Formulas
(Yutaka Matsui: Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1, Komaba Meguro-ku, Tokyo, 153-8914, Japan, e-mail: firstname.lastname@example.org; Kiyoshi Takeuchiy: Institute of Mathematics University of Tsukuba, 1-1-1, Tennodai Tsukuba, Ibaraki, 305-8571, Japan, e-mail: email@example.com)
The aim of this short paper is to introduce our recent study on Lefschetz fixed point formulas over singular varieties. In particular, we generalize Kashiwara’s theory of characteristic cycles by introducing new Lagrangian cycles associated with endomorphisms of constructible sheaves. Some examples related with Schubert varieties and toric hypersurfaces will also be given.