The integral cohomology algebras of ordered configuration spaces of spheres

zbMath0992.55014MaRDI QIDQ1972681

Eva Maria Feichtner, Günter M. Ziegler

Publication date: 16 April 2000

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49352

zbMATH Keywords

fibrationsubspace arrangementSerre spectral sequenceintegral cohomology algebras

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items

Representation theory for the Križ model ⋮ A survey of the homotopy properties of inclusion of certain types of configuration spaces into the Cartesian product ⋮ A Künneth theorem for configuration spaces ⋮ Regularity and stable ranges of \textbf{FI}-modules ⋮ Fixed points of \(n\)-valued maps on surfaces and the Wecken property -- a configuration space approach ⋮ Minimal generating and normally generating sets for the braid and mapping class groups of \(\mathbb D^2\), \(\mathbb S^2\) and \(\mathbb RP^2\). ⋮ Algebraic invariants of orbit configuration spaces in genus zero associated to finite groups ⋮ The cohomology ring away from 2 of configuration spaces on real projective spaces ⋮ LOCAL SYSTEMS ON COMPLEMENTS OF ARRANGEMENTS OF SMOOTH, COMPLEX ALGEBRAIC HYPERSURFACES ⋮ On orbit configuration spaces of spheres ⋮ Higher topological complexity and its symmetrization ⋮ Configurations, braids, and homotopy groups

This page was built for publication: The integral cohomology algebras of ordered configuration spaces of spheres