Universal Schubert polynomials

DOI10.1215/S0012-7094-99-09618-7zbMath0981.14022arXivalg-geom/9702012WikidataQ57406254 ScholiaQ57406254MaRDI QIDQ1974893

William Fulton

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9702012

zbMATH Keywords

Chern classesdegeneracy locipartial flag varietiesdouble Schubert polynomialsquantum Schubert polynomialsuniversal Schubert polynomials

Mathematics Subject Classification ID

Determinantal varieties (14M12) Grassmannians, Schubert varieties, flag manifolds (14M15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Characteristic classes and numbers in differential topology (57R20)

Related Items

Representations of Algebras, On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials, Four positive formulae for type \(A\) quiver polynomials, Equivariant quantum Schubert polynomials, Quiver polynomials in iterated residue form, Universal degeneracy classes for vector bundles on \(\mathbb{P}^1\) bundles, On quantum cohomology rings of partial flag varieties, Stable Grothendieck polynomials and \(K\)-theoretic factor sequences, A Giambelli formula for classical 𝐺/𝑃 spaces, On a conjectured formula for quiver varieties, Schubert polynomials and quiver formulas, Toric degeneration of Schubert varieties and Gelfand--Tsetlin polytopes, On combinatorics of quiver component formulas, Stanley symmetric functions and quiver varieties, ALGORITHM FOR MULTIPLYING SCHUBERT CLASSES, Quantum cohomology of flag manifolds.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The geometry of representations of \(A_m\)
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Chern class formulas for quiver varieties
• Schubert varieties and degeneracy loci
• Pieri's formula for flag manifolds and Schubert polynomials
• On quantum cohomology rings of partial flag varieties
• Quantum double Schubert polynomials, quantum Schubert polynomials and Vafa-Intriligator formula
• Désingularisation des variétés de Schubert généralisées
• Degeneracy Schemes and Schubert Varieties
• Quantum Schubert polynomials
• QUANTUM SCHUBERT POLYNOMIALS AND QUANTUM SCHUR FUNCTIONS
• SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
• Quantum cohomology of flag varieties