Holomorphic Equivariant Cohomology via a Transversal Holomorphic Vector Field

DOI10.1142/S0129167X03001879zbMath1050.32013arXivmath/0304200MaRDI QIDQ4474431

Huitao Feng

Publication date: 12 July 2004

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

Full work available at URL: https://arxiv.org/abs/math/0304200

zbMATH Keywords

Bismut connectionquasi-isomorphismholomorphic equivariant cohomologytransversal holomorphic vector field

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Topology of vector bundles and fiber bundles (57R22) Homology with local coefficients, equivariant cohomology (55N25)

Cites Work

• A local index theorem for non-Kähler manifolds
• Quantization formula for symplectic manifolds with boundary
• Holomorphic equivariant cohomology
• A residue formula for holomorphic vector-fields
• Holomorphic vector fields and Kaehler manifolds
• HOLOMORPHIC QUANTIZATION FORMULA IN SINGULAR REDUCTION

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