Inventiones mathematicae

, Volume 111, Issue 1, pp 1-33

First online:

Local contribution to the Lefschetz fixed point formula

  • Mark GoreskyAffiliated withDepartment of Mathematics, Northeastern University
  • , Robert MacPhersonAffiliated withDepartment of Mathematics, Massachusetts Institute of Technology

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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).