Microlocal Study of Lefschetz Fixed Point Formulas
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 1, pp. 13-24

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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.
Keywords: singular varieties, Lefschetz fixed point formulas, Lagrangian cycles, Schubert varieties.
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Yutaka Matsui; Kiyoshi Takeuchi. Microlocal Study of Lefschetz Fixed Point Formulas. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 1, pp. 13-24. http://geodesic.mathdoc.fr/item/JSFU_2008_1_1_a1/