Schur and Schubert polynomials as Thom polynomials -- cohomology of moduli spaces

DOI10.2478/BF02475176zbMath1038.57008MaRDI QIDQ1419660

Richárd Rimányi, László M. Fehér

Publication date: 19 January 2004

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Schubert polynomialsSchur polynomialsThom polynomialsmethod of restriction equations

Mathematics Subject Classification ID

Related Items (18)

Specializations of Grothendieck polynomials ⋮ Prism tableaux for alternating sign matrix varieties ⋮ Coincident root loci of binary forms ⋮ The Prism tableau model for Schubert polynomials ⋮ Double Schubert polynomials for the classical groups ⋮ Double Schubert polynomials do have saturated Newton polytopes ⋮ Bumpless pipe dreams encode Gröbner geometry of Schubert polynomials ⋮ Four positive formulae for type \(A\) quiver polynomials ⋮ Equivariant quantum Schubert polynomials ⋮ Characteristic Classes of Orbit Stratifications, the Axiomatic Approach ⋮ Chern-Schwartz-MacPherson classes of degeneracy loci ⋮ Cohomology classes of conormal bundles of Schubert varieties and Yangian weight functions ⋮ Gröbner geometry of Schubert polynomials through ice ⋮ A formula for the cohomology and \(K\)-class of a regular Hessenberg variety ⋮ Chern class formulas for $G_{2}$ Schubert loci ⋮ The incidence class and the hierarchy of orbits ⋮ Positivity of quiver coefficients through Thom polynomials ⋮ ħ-Deformed Schubert Calculus in Equivariant Cohomology, K-Theory, and Elliptic Cohomology

Cites Work

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• Coincident root loci of binary forms
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• The determinantal formula of Schubert calculus
• Chern class formulas for quiver varieties
• Schubert varieties and degeneracy loci
• Classes of degeneracy loci for quivers: the Thom polynomial point of view.
• The Cohomology Rings of Moduli Spaces of Bundles over Riemann Surfaces
• Puissances extérieures, déterminants et cycles de Schubert
• Enumerative geometry of degeneracy loci
• The Yang-Mills equations over Riemann surfaces
• Characteristic classes of Lagrangian and Legendre singularities
• Thom polynomials, symmetries and incidences of singularities
• The flagged double Schur function

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