Aeppli-Bott-Chern cohomology and Deligne cohomology from a viewpoint of Harvey-Lawson's spark complex

DOI10.1007/s10455-016-9506-4zbMath1355.32014arXiv1411.0492OpenAlexW2963820170MaRDI QIDQ329120

Jyh-Haur Teh

Publication date: 21 October 2016

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0492

zbMATH Keywords

Bott-Chern cohomologydifferential cohomologyspark complexAeppli cohomologyDeligne cohomologyrefined Chern class

Mathematics Subject Classification ID

Compact complex (n)-folds (32J18) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Cites Work

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• Differential cohomology theories as sheaves of spectra
• The cohomologies of the Iwasawa manifold and of its small deformations
• From sparks to grundles -- differential characters
• A geometric description of differential cohomology
• Complex parallelisable manifolds and their small deformations
• Quadratic functions in geometry, topology, and \(M\)-theory
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• Divisors and Euler sparks of atomic sections
• Differential K-Theory: A Survey
• D-bar sparks
• The de Rham-Federer theory of differential characters and character duality
• Cohomology of Nilmanifolds and Torsion-Free, Nilpotent Groups

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