Journal of Siberian Federal University. Mathematics & Physics / Microlocal Study of Lefschetz Fixed Point Formulas

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2008 1 (1)
Authors
Matsui, Yutaka; Takeuchi, Kiyoshi
Contact information
Yutaka Matsui: Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1, Komaba Meguro-ku, Tokyo, 153-8914, Japan, e-mail: ; Kiyoshi Takeuchiy: Institute of Mathematics University of Tsukuba, 1-1-1, Tennodai Tsukuba, Ibaraki, 305-8571, Japan, e-mail:
Keywords
singular varieties; Lefschetz fixed point formulas; Lagrangian cycles; Schubert varieties
Abstract

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.

Pages
13-24
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/613