Microlocal study of Lefschetz fixed point formulas for higher-dimensional fixed point sets

2008/12/24 by Yutaka Matsui, Matsui, Yutaka, Kiyoshi Takeuchi +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Numerical Analysis Techniques #Polynomial and algebraic computation #math.AG #math.AP #msc:14C17 #msc:14C40 #msc:32C38 #msc:35A27 #msc:37C25 #msc:55N33

paper · pdf · doi:10.48550/arxiv.0812.4480

47pages

arxiv created 2008/12/24 · arxiv updated 2009/12/01

Abstract

We introduce new Lagrangian cycles which encode local contributions of Lefschetz numbers of constructible sheaves into geometric objects. We study their functorial properties and apply them to Lefschetz fixed point formulas with higher-dimensional fixed point sets.

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• Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets

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