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Holomorphic Lefschetz fixed-point formula
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the Holomorphic Lefschetz formula is an analogue for <a href="/facts/Complex_manifold/DlvPnpzm">complex manifolds</a> of the <a href="/facts/Lefschetz_fixed-point_formula/TEjN2DQ8">Lefschetz fixed-point formula</a> that relates a sum over the <a href="/facts/Fixed_point_(mathematics)/vVVddTKc">fixed points</a> of a holomorphic <a href="/facts/Vector_field/ccFNuPPp">vector field</a> of a compact complex manifold to a sum over its <a href="/facts/Dolbeault_cohomology/BLg7w4Dh">Dolbeault cohomology</a> groups. </p>