Stable cohomology of spaces of non-resultant polynomial systems in \(\mathbb{R}^3\)

DOI10.1134/S106456241706028XzbMath1386.55019OpenAlexW2778445572MaRDI QIDQ1707160

Victor A. Vassiliev

Publication date: 28 March 2018

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

Full work available at URL: https://doi.org/10.1134/s106456241706028x

zbMATH Keywords

stabilizationpolynomial systemsrationalcohomology ring

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Homology and cohomology theories in algebraic topology (55N99) Algebraic topology on manifolds and differential topology (57R19)

Related Items (2)

Twisted homology of configuration spaces and homology of spaces of equivariant maps ⋮ Stable cohomology of spaces of non-resultant systems of homogeneous polynomials in \(\mathbb{R}^n\)

Cites Work

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• Homology of spaces of non-resultant homogeneous polynomial systems in \(\mathbb R^2\) and \(\mathbb C^2\)
• Real cohomology groups of the space of nonsingular curves of degree 5 in \(\mathbb{C}\mathbb{P}^2\)
• Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in \(\mathbb{R}^3\)
• Betti numbers and stability for configuration spaces via factorization homology
• Homology groups of spaces of non-resultant quadratic polynomial systems in $ {\mathbb R}^3$

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