Alternating formulas for \(K\)-theoretic quiver polynomials

DOI10.1215/S0012-7094-04-12811-8zbMath1099.05079arXivmath/0312250MaRDI QIDQ2572628

Ezra Miller

Publication date: 4 November 2005

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

Full work available at URL: https://arxiv.org/abs/math/0312250

zbMATH Keywords

cohomology classChern classesGrothendieck polynomialsquiver polynomialsconjecture of Buch

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17)

Related Items (9)

Quiver coefficients of Dynkin type ⋮ A formula for non-equioriented quiver orbits of type 𝐴 ⋮ Cohomological consequences of the pattern map ⋮ Grothendieck-to-Lascoux expansions ⋮ Four positive formulae for type \(A\) quiver polynomials ⋮ Type \(D\) quiver representation varieties, double Grassmannians, and symmetric varieties ⋮ Type \(A\) quiver loci and Schubert varieties ⋮ Stable Grothendieck polynomials and \(K\)-theoretic factor sequences ⋮ On combinatorics of quiver component formulas

Cites Work

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• Gröbner geometry of Schubert polynomials
• Chern class formulas for quiver varieties
• On combinatorics of quiver component formulas
• Subword complexes in Coxeter groups.
• Grothendieck classes of quiver varieties.
• A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians.
• The Yang-Baxter equation, symmetric functions, and Schubert polynomials
• Four positive formulae for type \(A\) quiver polynomials
• Positivity of quiver coefficients through Thom polynomials
• Alternating signs of quiver coefficients
• RC-Graphs and Schubert Polynomials
• Grothendieck polynomials and quiver formulas

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