Abstract
We give an account of some of the analysis on complex manifolds leading in particular to Dolbeault cohomology and the Hodge decomposition Theorem. On the way we introduce some basic notions such as sheaves, connections in fibre bundles and Kähler manifolds. We thank Frl. A. Thiedemann for the difficult job of typing our illegible manuscript.
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1
Elementary Several Complex Variables.
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2
Analysis on Manifolds.
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3
Sheaves and Cohomology.
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4
Connections in Vector Bundles and Kähler Manifolds.
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5
Harmonic Theory on Compact Complex Manifolds.
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6
Cohomology of Kähler Manifolds.
Keywords
- Vector Bundle
- Holomorphic Function
- Complex Manifold
- Cohomology Group
- Cohomology Class
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Lemaire, L., Wood, J.C. (1982). An Introduction to Analysis on Complex Manifolds. In: Complex Analysis. Lecture Notes in Mathematics, vol 950. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061876
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DOI: https://doi.org/10.1007/BFb0061876
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11596-0
Online ISBN: 978-3-540-39366-5
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