International Mathematics Research Notices Advance Access published online on October 11, 2009
International Mathematics Research Notices, doi:10.1093/imrn/rnp163
Microlocal Study of Lefschetz Fixed-Point Formulas for Higher-Dimensional Fixed Point Sets
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.