The adjoint of lowers real degree by two and bidegree by . On a compact Kähler manifold it acts on cohomology through harmonic differential forms, because it commutes with the Hodge Laplacian. It does not generally preserve all closed forms.

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  1. Lefschetz operator of a Kähler manifold
  2. Kähler manifold
  3. Complex manifold
  4. Integrable almost complex structure
  5. Almost complex manifold
  6. Complex structure
  7. Complex geometry
  8. Geometry and topology
  9. Area of mathematics
  10. Mathematics
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