Some remarks on the Dolbeault-Kostant complex

DOI10.1016/0034-4877(86)90015-7zbMath0639.58023OpenAlexW2053186625MaRDI QIDQ1099856

Mircea Puta

Publication date: 1986

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(86)90015-7

zbMATH Keywords

eigenvaluesLaplace operatorHodge theoremcohomological complexDolbeault-Kostant complexspectrum of the Laplacians

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Hodge theory in global analysis (58A14) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Differential complexes (58J10)

Cites Work

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• A cohomology for foliated manifolds
• Complex-Foliated Structures. I. Cohomology of the Dolbeault-Kostant Complexes
• Some spectral properties of the Kostant complex
• On the Cohomology Groups of a Polarisation and Diagonal Quantisation

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