Grothendieck classes of quiver varieties.

DOI10.1215/S0012-7094-02-11513-0zbMath1052.14056arXivmath/0104029MaRDI QIDQ1857113

Anders Skovsted Buch

Publication date: 2002

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

Full work available at URL: https://arxiv.org/abs/math/0104029

zbMATH Keywords

cohomologyquiver varietiesGrothendieck classesGysin formula

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Determinantal varieties (14M12) Grassmannians, Schubert varieties, flag manifolds (14M15) (K)-theory of schemes (19E08)

Related Items

Alternating signs of quiver coefficients, Quiver coefficients of Dynkin type, \(K\)-theoretic Pieri rule via iterated residues, A formula for non-equioriented quiver orbits of type 𝐴, Representations of Algebras, A Thom-Porteous formula for connective K-theory using algebraic cobordism, Degeneracy loci classes in \(K\)-theory -- determinantal and Pfaffian formula, Cohomological consequences of the pattern map, \(K\)-theoretic Chern class formulas for vexillary degeneracy loci, Quantum \(K\)-theory of Grassmannians, Four positive formulae for type \(A\) quiver polynomials, Type \(D\) quiver representation varieties, double Grassmannians, and symmetric varieties, Quiver polynomials in iterated residue form, Type \(A\) quiver loci and Schubert varieties, Integrable models and \(K\)-theoretic pushforward of Grothendieck classes, Darondeau-Pragacz formulas in complex cobordism, On the \(K\)-theoretic fundamental class of Deligne-Lusztig varieties, Vexillary degeneracy loci classes in \(K\)-theory and algebraic cobordism, Stable Grothendieck polynomials and \(K\)-theoretic factor sequences, Grothendieck classes of quiver cycles as iterated residues, Toric degeneration of Schubert varieties and Gelfand--Tsetlin polytopes, On combinatorics of quiver component formulas, Universal Gysin formulas for the universal Hall-Littlewood functions, Positivity of quiver coefficients through Thom polynomials, Alternating formulas for \(K\)-theoretic quiver polynomials, A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians., Castelnuovo-Mumford regularity of ladder determinantal varieties and patches of Grassmannian Schubert varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noncommutative Schubert calculus and Grothendieck polynomials
• Chern class formulas for quiver varieties
• Some combinatorial properties of Schubert polynomials
• Singular loci of ladder determinantal varieties and Schubert varieties
• Noncommutative Schur functions and their applications
• A Pieri formula in the Grothendieck ring of a flag bundle
• Stanley symmetric functions and quiver varieties
• Positivity in the Grothendieck group of complex flag varieties.
• A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians.
• The Yang-Baxter equation, symmetric functions, and Schubert polynomials
• Combinatorial aspects of the \(K\)-theory of Grassmannians
• Ideals defined by matrices and a certain complex associated with them
• Categorical framework for the study of singular spaces
• Enumerative geometry of degeneracy loci
• Degeneracy Schemes and Schubert Varieties
• On a conjectured formula for quiver varieties