Integrable models and \(K\)-theoretic pushforward of Grothendieck classes
From MaRDI portal
Publication:2233912
DOI10.1016/j.nuclphysb.2021.115513zbMath1478.14074arXiv2002.06839OpenAlexW3006208979MaRDI QIDQ2233912
Publication date: 12 October 2021
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.06839
Symmetric functions and generalizations (05E05) Grassmannians, Schubert varieties, flag manifolds (14M15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Classical problems, Schubert calculus (14N15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Notes on Schubert, Grothendieck and key polynomials
- \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions
- Quantum cohomology via vicious and osculating walkers
- Quiver polynomials in iterated residue form
- Refined Cauchy/Littlewood identities and six-vertex model partition functions. II: Proofs and new conjectures
- Orthogonality of Bethe ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove
- Quantum integrability and generalised quantum Schubert calculus
- Schur polynomials and the Yang-Baxter equation
- An Izergin-Korepin procedure for calculating scalar products in the six-vertex model
- On a family of symmetric rational functions
- A proof of \(K\)-theoretic Littlewood-Richardson rules by Bender-Knuth-type involutions
- Calculation of norms of Bethe wave functions
- Quiver coefficients of Dynkin type
- Refined Cauchy and Littlewood identities, plane partitions and symmetry classes of alternating sign matrices
- Quantum inverse problem method. I
- The \(\widehat {\mathfrak {sl}}(n)_k\)-WZNW fusion ring: a combinatorial construction and a realisation as quotient of quantum cohomology
- An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices
- The moment map and equivariant cohomology
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Lefschetz-Riemann-Roch for singular varieties
- Yang-Baxter equation and representation theory. I
- Schubert varieties and degeneracy loci
- Symmetric Grothendieck polynomials, skew Cauchy identities, and dual filtered Young graphs
- Loop models and \(K\)-theory
- Residue formulas for push-forwards in equivariant cohomology: a symplectic approach
- Higher spin six vertex model and symmetric rational functions
- Equivariant classes of matrix matroid varieties
- Grothendieck classes of quiver varieties.
- A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians.
- Symplectic shifted tableaux and deformations of Weyl's denominator formula for \(\text{sp}(2n)\)
- Combinatorial aspects of the \(K\)-theory of Grassmannians
- Grothendieck polynomials and the boson-fermion correspondence
- Littlewood-Richardson coefficients for Grothendieck polynomials from integrability
- Free-fermions and skew stable Grothendieck polynomials
- Integrability approach to Fehér-Némethi-Rimányi-Guo-Sun type identities for factorial Grothendieck polynomials
- Darondeau-Pragacz formulas in complex cobordism
- Grothendieck classes of quiver cycles as iterated residues
- Residues formulas for the push-forward in \(K\)-theory, the case of \(\mathbf{G}_2/P\)
- Identities on factorial Grothendieck polynomials
- Trigonometric weight functions as \(K\)-theoretic stable envelope maps for the cotangent bundle of a flag variety
- Degeneracy loci classes in \(K\)-theory -- determinantal and Pfaffian formula
- A Yang-Baxter equation for metaplectic ice
- Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity
- U-turn alternating sign matrices, symplectic shifted tableaux and their weighted enumeration
- Factorial Grothendieck polynomials
- Refined Cauchy/Littlewood identities and six-vertex model partition functions. III. Deformed bosons
- \(K\)-theoretic Pieri rule via iterated residues
- Vertex models, TASEP and Grothendieck polynomials
- K-theoretic boson–fermion correspondence and melting crystals
- A Gysin formula for Hall-Littlewood polynomials
- Boxed plane partitions as an exactly solvable boson model
- Colored five‐vertex models and Lascoux polynomials and atoms
- The SOS model partition function and the elliptic weight functions
- Diagonalizably linearized coherent sheaves
- Enumerative geometry of degeneracy loci
- Symmetric functions and wavefunctions of XXZ-type six-vertex models and elliptic Felderhof models by Izergin–Korepin analysis
- Universal Gysin formulas for flag bundles
- Lectures on K-theoretic computations in enumerative geometry
- Gysin maps, duality, and Schubert classes
- Determinant formula for the six-vertex model with reflecting end
- On the Eigenfunctions for the Multi-species <i>q</i>-Boson System
- Factorial Schur functions and the Yang-Baxter equation
- Computing the Gysin Map Using Fixed Points
- Boxed skew plane partition and integrable phase model
- Combinatorial K-theory