Stable cohomology of spaces of non-resultant systems of homogeneous polynomials in \(\mathbb{R}^n\)

DOI10.1134/S1064562418050125zbMath1427.55006OpenAlexW2889734998MaRDI QIDQ1994084

Victor A. Vassiliev

Publication date: 1 November 2018

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

Full work available at URL: https://doi.org/10.1134/s1064562418050125

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Semialgebraic sets and related spaces (14P10) Spectral sequences in algebraic topology (55T99) Homology and cohomology theories in algebraic topology (55N99)

Related Items (4)

Twisted homology of configuration spaces and homology of spaces of equivariant maps ⋮ Homology of the complex of not 2-divisible partitions ⋮ Geometry of factorization identities for discriminants ⋮ Blow-ups for the Horn-Kapranov parametrization of the classical discriminant

Cites Work

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• Homology of spaces of non-resultant homogeneous polynomial systems in \(\mathbb R^2\) and \(\mathbb C^2\)
• On the homology of configuration spaces
• Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in \(\mathbb{R}^3\)
• Beginner's course in topology. Geometric chapters. Transl. from the Russian by A. Iacob
• The topology of rational functions and divisors of surfaces
• The cohomology ring of the colored braid group
• Topology of complements of discriminants and resultants
• Stable cohomology of spaces of non-resultant polynomial systems in \(\mathbb{R}^3\)
• Betti numbers and stability for configuration spaces via factorization homology
• Homologie singulière des espaces fibrés. Applications
• Homology groups of spaces of non-resultant quadratic polynomial systems in $ {\mathbb R}^3$

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