Local contribution to the Lefschetz fixed point formula |
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Authors: | Mark Goresky Robert MacPherson |
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Affiliation: | (1) Department of Mathematics, Northeastern University, 02115 Boston, MA, USA;(2) Department of Mathematics, Massachusetts Institute of Technology, 02139 Cambridge, MA, USA |
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Abstract: | Summary For a class of self-correspondencesC calledweakly hyperbolic, we give a computable formula for the contribution of a fixed point component to the Lefschetz number ofC. The formula applies to Lefschetz numbers of cohomology with coefficients in a constructible complex of sheaves (such as intersection homology).Oblatum 9-XI-1990 & 29-IV-1992In memory of J.L. VerdierPartially supported by NSF grant # DMS8802638 and DMS9001941Partially supported by NSF grant # DMS8803083 and DMS9106522 |
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