A natural map from Lawson homology to Deligne cohomology groups for smooth complex projective varieties is constructed by using the Harvey-Lawson spark complexes. We also compare this to Abel-Jacobi type constructions by others.
Birational invariants defined by Lawson homology
On Hard Lefschetz Conjecture on Lawson Homology
Lawson Homology for projective varieties with C^*-action
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