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International Mathematics Research Notices Advance Access published online on October 11, 2009

International Mathematics Research Notices, doi:10.1093/imrn/rnp163
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© The Author 2009. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Microlocal Study of Lefschetz Fixed-Point Formulas for Higher-Dimensional Fixed Point Sets

Yutaka Matsui1 and Kiyoshi Takeuchi2

1 Department of Mathematics, Kinki University, 3-4-1, Kowakae, Higashi-Osaka, Osaka, 577-8502, Japan
2 Institute of Mathematics, University of Tsukuba, 1-1-1, Tennodai, Tsukuba, Ibaraki, 305-8571, Japan

Correspondence: Correspondence to be sent to: takemicro{at}nifty.com

We introduce new Lagrangian cycles that 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.


Communicated by Prof. Masaki Kashiwara


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