Rational homology of the order complex of zero sets of homogeneous quadratic polynomial systems in \(\mathbb{R}^3\)

DOI10.1134/S0081543815060188zbMath1335.55015arXiv1501.06063OpenAlexW2962943057MaRDI QIDQ902066

Victor A. Vassiliev

Publication date: 7 January 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06063

zbMATH Keywords

quadratic formorder complexBorel-Moore homology grouprational homology group

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Spectral sequences in algebraic topology (55T99) Topological properties of mappings on manifolds (58K15) Symmetric products and cyclic products in algebraic topology (55S15)

Related Items (3)

Stable cohomology of spaces of non-resultant polynomial systems in \(\mathbb{R}^3\) ⋮ 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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• Real cohomology groups of the space of nonsingular curves of degree 5 in \(\mathbb{C}\mathbb{P}^2\)
• Cohomologie d'immeubles et de groupes S-arithmétiques
• Homologie singulière des espaces fibrés. Applications
• How to calculate homology groups of spaces of nonsingular algebraic projective hypersurfaces
• Homology groups of spaces of non-resultant quadratic polynomial systems in $ {\mathbb R}^3$
• Symmetric Joins and Weighted Barycenters
• Homology of spaces of homogeneous polynomials in $R^2$ without multiple zeros
• Rational cohomology of the moduli space of genus 4 curves

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