The Bott-Chern and Aeppli cohomologies of complex structures on \(S^3 \times S^3\)

DOI10.1007/s10114-021-9149-7zbMath1464.32041OpenAlexW3122571135MaRDI QIDQ2025253

Jing-jing Wang

Publication date: 11 May 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-021-9149-7

zbMATH Keywords

Bott-Chern cohomologyAeppli cohomologycomplex structure on \(S^3 \times S^3\)

Mathematics Subject Classification ID

Other complex differential geometry (53C56) Topological aspects of complex manifolds (32Q55) Homology and cohomology theories in algebraic topology (55N99)

Cites Work

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• Hodge numbers of a hypothetical complex structure on \(S^{6}\)
• Families of strong KT structures in six dimensions
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• On Bott-Chern cohomology and formality
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• The index of elliptic operators. III
• A class of compact, complex manifolds which are not algebraic
• Bott-Chern-Aeppli, Dolbeault and Frolicher on Compact Complex 3-folds
• RELATIONS BETWEEN THE COHOMOLOGY GROUPS OF DOLBEAULT AND TOPOLOGICAL INVARIANTS

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