DOI10.1007/s00222-002-0250-yzbMath1051.14063arXivmath/0108105OpenAlexW2146791917MaRDI QIDQ1401468
Alexander Givental, Yuan-Pin Lee
Publication date: 17 August 2003
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0108105
On the quantum \(K\)-theory of the quintic ⋮
Quantum \(K\)-theory of quiver varieties and many-body systems ⋮
The stringy instanton partition function ⋮
Holomorphic blocks in three dimensions ⋮
Supersymmetric indices on \(I \times T^2\), elliptic genera and dualities with boundaries ⋮
On Baxter \({\mathcal Q}\)-operators and their arithmetic implications ⋮
Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian ⋮
Defects and quantum Seiberg-Witten geometry ⋮
Generalized Weyl modules and nonsymmetric \(q\)-Whittaker functions ⋮
Explicit reconstruction in quantum cohomology and \(K\)-theory ⋮
Semi-infinite Schubert varieties and quantum 𝐾-theory of flag manifolds ⋮
Demazure character formula for semi-infinite flag varieties ⋮
Wilson loop algebras and quantum K-theory for Grassmannians ⋮
Projected Gromov-Witten varieties in cominuscule spaces ⋮
\(K\)-theoretic Catalan functions ⋮
A path model for Whittaker vectors ⋮
3D mirror symmetry for instanton moduli spaces ⋮
Mirror symmetry and line operators ⋮
One-dimensional nil-DAHA and Whittaker functions. I. ⋮
Geometry of canonical bases and mirror symmetry ⋮
Vortex counting and Lagrangian 3-manifolds ⋮
Equivariant \(K\)-theory of the semi-infinite flag manifold as a nil-DAHA module ⋮
Calogero-Moser eigenfunctions modulo \(p^s\) ⋮
The formal model of semi-infinite flag manifolds ⋮
Grothendieck lines in 3d \(\mathcal{N} = 2\) SQCD and the quantum K-theory of the Grassmannian ⋮
Quantum K theory rings of partial flag manifolds ⋮
Closed 𝑘-Schur Katalan functions as 𝐾-homology Schubert representatives of the affine Grassmannian ⋮
On \(q\)-deformed \({\mathfrak{gl}_{\ell+1}}\)-Whittaker function. I ⋮
On \(q\)-deformed \({\mathfrak{gl}_{\ell+1}}\)-Whittaker function. II ⋮
Quantum \(K\)-theory of Grassmannians ⋮
Virtual Coulomb branch and vertex functions ⋮
Gelfand-Tsetlin algebras and cohomology rings of Laumon spaces ⋮
Spectral analysis of an open \(q\)-difference Toda chain with two-sided boundary interactions on the finite integer lattice ⋮
Mini-workshop: Recent developments in representation theory and mathematical physics. Abstracts from the mini-workshop held March 20--26, 2022 ⋮
Boundary chiral algebras and holomorphic twists ⋮
Quantum difference equation for Nakajima varieties ⋮
Equivariant \(K\)-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula ⋮
Quantum \(K\)-theory. I: Foundations ⋮
A-type quiver varieties and ADHM moduli spaces ⋮
3d \(\mathcal{N} = 2\) Chern-Simons-matter theory, Bethe ansatz, and quantum \(K\)-theory of Grassmannians ⋮
Elliptic stable envelopes ⋮
Euler characteristics of universal cotangent line bundles on $\overline {\mathcal {M}}_{1,n}$ ⋮
Branching formula for \(q\)-Toda functions of type B ⋮
Fundamental vortices, wall-crossing, and particle-vortex duality ⋮
Weyl modules and \(q\)-Whittaker functions ⋮
Quantum integrability and generalised quantum Schubert calculus ⋮
From archimedean \(L\)-factors to topological field theories ⋮
Quantum K-theory of Grassmannians and non-abelian localization ⋮
Twisted K-theoretic Gromov-Witten invariants ⋮
A conjectural Peterson isomorphism in \(K\)-theory ⋮
Baxter \(Q\)-operator from quantum \(K\)-theory ⋮
Vertices, vortices \& interacting surface operators ⋮
Vortex partition functions, wall crossing and equivariant Gromov-Witten invariants ⋮
Extremal part of the PBW-filtration and nonsymmetric Macdonald polynomials ⋮
3d mirror symmetry and quantum \(K\)-theory of hypertoric varieties ⋮
BPS indices, modularity and perturbations in quantum K-theory ⋮
Frobenius splitting of Schubert varieties of semi-infinite flag manifolds ⋮
InverseK-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type ⋮
Dualities in quantum integrable many-body systems and integrable probabilities. I. ⋮
Nonsymmetric difference Whittaker functions ⋮
Engineering 3D \(\mathcal{N} = 2\) theories using the quantum affine \(\mathfrak{sl}(2)\) algebra ⋮
Kernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems ⋮
Trigonometric weight functions as \(K\)-theoretic stable envelope maps for the cotangent bundle of a flag variety ⋮
On the archimedean and nonarchimedean 𝑞-Gevrey orders
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