Rational homology of spaces of complex monic polynomials with multiple roots

DOI10.1112/S0025579300016089zbMath1065.58027arXivmath/0111167MaRDI QIDQ4817668

Dmitry N. Kozlov

Publication date: 15 September 2004

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111167

zbMATH Keywords

orbit arrangementsmarked forestsspaces of complex monic polynomials

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Topological properties of mappings on manifolds (58K15)

Related Items (6)

Complexes of graph homomorphisms ⋮ Lexicographic shellability for balanced complexes ⋮ Topology of scrambled simplices ⋮ Quotients of the order complex \(\Delta (\overline \Pi _n)\) by subgroups of the Young subgroup \(S_{1}\times S_{n-1}\) ⋮ Simple homotopy types of Hom-complexes, neighborhood complexes, Lovász complexes, and atom crosscut complexes ⋮ Quotient complexes and lexicographic shellability

Cites Work

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• Morse theory for cell complexes
• Topology of spaces of hyperbolic polynomials and combinatorics of resonances
• Group actions on arrangements of linear subspaces and applications to configuration spaces
• CONCERNING THE ACTION OF A FINITE GROUP
• Collapsibility of Δ(Π_{𝑛})/𝒮_{𝓃} and some related CW complexes

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