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Leray-Hirsch theorem for Dolbeault cohomology
There's a simples proof of Leray-Hirsch theorem for Dolbeault cohomology in this paper:
https://arxiv.org/pdf/1806.11435.pdf
10
votes
1
answer
711
views
Leray-Hirsch theorem for Dolbeault cohomology
In Bott and Tu's Differential forms in algebraic topology there is a proof of Leray-Hirsch for the De Rham cohomology. The theorem is this:
Theorem (Leray-Hirsch): Let $E$ be a fiber bundle over $ …
3
votes
0
answers
162
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Question about the precise statement of Leray spectral sequences and a simple example
On Bott's paper "Homogeneous vector bundles" there is the following statement of Leray spectral sequence:
Let $X$ and $Y$ be paracompact and locally compact spaces and $f : Y \to X$ be a proper ma …