A generalization of Abel's theorem and the Abel-Jacobi map

zbMath1271.53029arXiv0811.0961MaRDI QIDQ351776

Johan L. Dupont, Franz W. Kamber

Publication date: 10 July 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0961

zbMATH Keywords

Riemann surfacedivisorsAbel gerbesharmonic Deligne cohomology

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Topology of vector bundles and fiber bundles (57R22) Connections (general theory) (53C05) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Differential geometric aspects of gerbes and differential characters (53C08)

Cites Work

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• Foliated bundles and characteristic classes
• Simplicial De Rham cohomology and characteristic classes of flat bundles
• Curvature and characteristic classes
• Characteristic forms and geometric invariants
• Cycles, submanifolds, and structures on normal bundles
• Gerbes, simplicial forms and invariants for families of foliated bundles
• The de Rham-Federer theory of differential characters and character duality
• Regulators and characteristic classes of flat bundles
• Integration of simplicial forms and Deligne cohomology

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