Degeneration at E2 of certain spectral sequences

DOI10.1142/S0129167X16501111zbMath1365.53067arXiv1601.04781MaRDI QIDQ2962406

Dan Popovici

Publication date: 16 February 2017

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

Full work available at URL: https://arxiv.org/abs/1601.04781

zbMATH Keywords

pseudo-differential operatorsHodge theoryFrölicher spectral sequenceSKT metricscommutation relations for Hermitian metrics

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) de Rham cohomology and algebraic geometry (14F40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (11)

Deformation stability of \(p\)-SKT and \(p\)-HS manifolds ⋮ Harmonic symmetries for Hermitian manifolds ⋮ Mini-workshop: Almost complex geometry. Abstracts from the mini-workshop held October 4--10, 2020 (online meeting) ⋮ The spectral sequence of the canonical foliation of a Vaisman manifold ⋮ Higher-page Bott-Chern and Aeppli cohomologies and applications ⋮ On the degeneration of the Frölicher spectral sequence and small deformations ⋮ A generalised volume invariant for Aeppli cohomology classes of Hermitian-symplectic metrics ⋮ Adiabatic limit and the Frölicher spectral sequence ⋮ A note on fibrations of \(G_2\)-manifolds ⋮ \(p\)-Kähler and balanced structures on nilmanifolds with nilpotent complex structures ⋮ Deformations of higher-page analogues of \(\partial{\bar{\partial}} \)-manifolds

Cites Work

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• Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
• Harmonic Integrals on Almost Product Manifolds

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