Inventiones mathematicae

, Volume 111, Issue 1, pp 1–33

Local contribution to the Lefschetz fixed point formula

  • Mark Goresky
  • Robert MacPherson

DOI: 10.1007/BF01231277

Cite this article as:
Goresky, M. & MacPherson, R. Invent Math (1993) 111: 1. doi:10.1007/BF01231277


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).

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Mark Goresky
    • 1
  • Robert MacPherson
    • 2
  1. 1.Department of MathematicsNortheastern UniversityBostonUSA
  2. 2.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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