Hypoelliptic Laplacian and Bott-Chern cohomology

DOI10.1016/j.crma.2010.12.003zbMath1209.58015OpenAlexW2015688791MaRDI QIDQ626067

Jean-Michel Bismut

Publication date: 21 February 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.12.003

zbMATH Keywords

elliptic superconnectionhypoelliptic superconnectionproper submersion

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Hypoelliptic equations (35H10) Topology of vector bundles and fiber bundles (57R22) Algebraic topology on manifolds and differential topology (57R19)

Related Items (5)

Twisted Frölicher-type inequality on foliations ⋮ Precise Arrhenius law for \(p\)-forms: the Witten Laplacian and Morse-Barannikov complex ⋮ On the \(\partial\overline{\partial}\)-lemma and Bott-Chern cohomology ⋮ Degree of non-Kählerianity for 6-dimensional nilmanifolds ⋮ Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries

Cites Work

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• A local index theorem for non-Kähler manifolds
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• The index of elliptic operators. IV, V
• The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)
• The hypoelliptic Laplacian on the cotangent bundle
• Flat Vector Bundles, Direct Images and Higher Real Analytic Torsion

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