A map from Lawson homology to Deligne Cohomology

2008/10/02 by Wenchuan Hu, Hu, Wenchuan
Mathematics · #14F43 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #math.DG #msc:14F43

paper · pdf · doi:10.48550/arxiv.0810.0442

11 pages

openalex publication_date 2008/10/02 · arxiv created 2009/09/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

• Generalized Abel-Jacobi map on Lawson homology
• Line bundles, connections, Deligne-Beilinson and absolute Hodge cohomology
• The Abel-Jacobi map for higher Chow groups
• D-bar Spark Theory and Deligne Cohomology
• Lawson Homology for Abelian Varieties