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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
Max Reinhold Jahnke's user avatar
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 $ …
Max Reinhold Jahnke's user avatar
3 votes
0 answers
162 views

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 …
Max Reinhold Jahnke's user avatar