Twisted homology of configuration spaces and homology of spaces of equivariant maps

DOI10.1134/S106456241807030XzbMath1412.55015OpenAlexW2911018778MaRDI QIDQ1732075

Victor A. Vassiliev

Publication date: 15 March 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456241807030x

zbMATH Keywords

configuration spaceequivariant mapstable homologyequivariant function spacenon-resultant polynomialsimplicity resolution

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Homology with local coefficients, equivariant cohomology (55N25) Symmetric products and cyclic products in algebraic topology (55S15)

Cites Work

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• Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in \(\mathbb{R}^3\)
• The topology of rational functions and divisors of surfaces
• Topology of complements of discriminants and resultants
• Stable cohomology of spaces of non-resultant polynomial systems in \(\mathbb{R}^3\)
• Simplicial resolutions and spaces of algebraic maps between real projective spaces
• Homology of the complex of not 2-divisible partitions
• Stable cohomology of spaces of non-resultant systems of homogeneous polynomials in \(\mathbb{R}^n\)
• Homology groups of spaces of non-resultant quadratic polynomial systems in $ {\mathbb R}^3$
• A generalization of the Eilenberg-Moore spectral sequence

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