Cohomology of configuration spaces of complex projective spaces

Tanweer Sohail

Displaying similar documents to “Cohomology of configuration spaces of complex projective spaces”

The integral cohomology algebras of ordered configuration spaces of spheres.

Feichtner, Eva Maria, Ziegler, Günter M. (2000)

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On rational De Rham cohomology associated with the generalized airy function

Hironobu Kimura (1997)

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A spectral sequence for de Rham cohomology

Bingyong Xie (2011)

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Towards one conjecture on collapsing of the Serre spectral sequence

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[For the entire collection see Zbl 0699.00032.] A fibration $F \to E \to B$ is called totally noncohomologuous to zero (TNCZ) with respect to the coefficient field k, if $H^{*} (E; k) \to H^{*} (F; k)$ is surjective. This is equivalent to saying that $π_{1} (B)$ acts trivially on $H^{*} (F; k)$ and the Serre spectral sequence collapses at $E^{2}$ . S. Halperin conjectured that for $c h a r (k) = 0$ and F a 1-connected rationally elliptic space (i.e., both $H^{*} (F; 𝒬)$ and $π_{*} (F) \otimes 𝒬$ are finite dimensional) such that $H^{*} (F; k)$ vanishes in odd degrees, every fibration $F \to E \to B$ is TNCZ. The author proves this...

Bundles, cohomology and truncated symmetric polynomials.

Adem, Alejandro, Reichstein, Zinovy (2010)

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Koszul cohomology and $k$ -normality of a projective variety.

Alzati, A., Besana, G.M. (2000)

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Displaying similar documents to “Cohomology of configuration spaces of complex projective spaces”

The integral cohomology algebras of ordered configuration spaces of spheres.

On rational De Rham cohomology associated with the generalized airy function

A spectral sequence for de Rham cohomology

Towards one conjecture on collapsing of the Serre spectral sequence

Bundles, cohomology and truncated symmetric polynomials.

Koszul cohomology and k -normality of a projective variety.

Koszul cohomology and $k$ -normality of a projective variety.