Topology of spaces of hyperbolic polynomials and combinatorics of resonances

DOI10.1007/BF02784511zbMath1012.57045arXivmath/0111166MaRDI QIDQ1860705

Dmitry N. Kozlov

Publication date: 6 June 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111166

zbMATH Keywords

stratificationresonancesdiscrete Morse theoryhyperbolic polynomialsdiscriminants of smooth maps

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Singularities of differentiable mappings in differential topology (57R45) Topology of real algebraic varieties (14P25) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Stratifications in topological manifolds (57N80)

Related Items (3)

Rational homology of spaces of complex monic polynomials with multiple roots ⋮ Directed trees in a string, real polynomials with triple roots, and chain mails ⋮ Quotients of the order complex \(\Delta (\overline \Pi _n)\) by subgroups of the Young subgroup \(S_{1}\times S_{n-1}\)

Cites Work

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• Topology of spaces of functions without compound singularities
• Combinatorics \(\&\) topology of stratifications of the space of monic polynomials with real coefficients
• The topology of rational functions and divisors of surfaces
• Morse theory for cell complexes
• Classifying spaces and spectral sequences
• Spaces of functions with moderate singularities
• Higher algebraic K-theory: I
• Shellable nonpure complexes and posets. II
• Homology of spaces of homogeneous polynomials in $R^2$ without multiple zeros
• Collapsibility of Δ(Π_{𝑛})/𝒮_{𝓃} and some related CW complexes

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