\(\overline{\partial}\)-tangential invariants of certain vector bundles over complex foliations

DOI10.1016/J.GEOMPHYS.2016.11.009zbMath1368.32024OpenAlexW2556175956MaRDI QIDQ501309

Paul Popescu, Cristian Ida

Publication date: 29 December 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.11.009

zbMATH Keywords

complex foliationtangential characteristic classestangential Dolbeault cohomology

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Foliations (differential geometric aspects) (53C12) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Cites Work

• Foliated Lie and Courant algebroids
• Characteristic classes of Lie algebroid morphisms
• The \({\overline{\partial}}\) operator along the leaves and Guichard's theorem for a complex simple foliation
• Leafwise Dolbeault cohomology of certain complex foliations
• Hermitian metric rigidity for foliated vector bundles
• Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes
• Real polarizable Hodge structures arising from foliations
• Lie algebroids, holonomy and characteristic classes
• Localization of Atiyah classes
• Cohomology of skew-holomorphic Lie algebroids
• On transversely holomorphic principal bundles
• Complex Analytic Connections in Fibre Bundles
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