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Local contribution to the Lefschetz fixed point formula

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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).

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Authors and Affiliations

  1. Department of Mathematics, Northeastern University, 02115, Boston, MA, USA

    Mark Goresky

  2. Department of Mathematics, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    Robert MacPherson

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  1. Mark Goresky
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  2. Robert MacPherson
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Oblatum 9-XI-1990 & 29-IV-1992

In memory of J.L. Verdier

Partially supported by NSF grant # DMS8802638 and DMS9001941

Partially supported by NSF grant # DMS8803083 and DMS9106522

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Goresky, M., MacPherson, R. Local contribution to the Lefschetz fixed point formula. Invent Math 111, 1–33 (1993). https://doi.org/10.1007/BF01231277

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