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For an arbitrary Nakajima quiver variety $X$, we construct an analog of the quantum dynamical Weyl group acting in its equivariant K-theory.
Quasitriangular Hopf algebras and invariants of links
N. Y. Reshetikhin · 1989
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Quantization of Lie groups and Lie algebras
N. Y. Reshetikhin, L. A. Takhtadzhyan, and L. D. Faddeev · 1989
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Universal R R -matrix for quantized (super)algebras
S. M. Khoroshkin and V. N. Tolstoy · 1991
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Quantum affine algebras and holonomic difference equations
I. B. Frenkel and N. Yu. Reshetikhin · 1992
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Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
H. Nakajima · 1994
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Foundations of quantum group theory
S. Majid · 1995
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Universal solutions of quantum dynamical Yang-Baxter equations
D. Arnaudon, E. Buffenoir, E. Ragoucy, and P. Roche · 1998
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Quiver varieties and Kac-Moody algebras
H. Nakajima · 1998
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Mirror symmetry and algebraic geometry
D. A. Cox and S. Katz · 1999
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Explicit quantization of dynamical r r -matrices for finite dimensional semisimple Lie algebras
P. Etingof, T. Schedler, and O. Schiffmann · 2000
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Difference equations compatible with trigonometric KZ differential equations
V. Tarasov and A. Varchenko · 2000
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Duality for Knizhnik-Zamolodchikov and dynamical equations
V. Tarasov and A. Varchenko · 2000
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Quiver varieties and Yangians
M. Varagnolo · 2000
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Stable morphisms to singular schemes and relative stable morphisms
J. Li · 2001
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Quiver varieties and finite-dimensional representations of quantum affine algebras
H. Nakajima · 2001
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Dynamical Weyl groups and applications
P. Etingof and A. Varchenko · 2002
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Notes on Macdonald polynomials and the geometry of Hilbert schemes
M. Haiman · 2002
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A degeneration formula of GW-invariants
J. Li · 2002
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Quantum K K -theory on flag manifolds, finite-difference Toda lattices and quantum groups
A. Givental and Y.-P. Lee · 2003
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Dynamical differential equations compatible with rational q K Z qKZ equations
V. Tarasov and A. Varchenko · 2005
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Gromov-Witten theory and Donaldson-Thomas theory. I
D. Maulik, N. Nekrasov, A. Okounkov, and R. Pandharipande · 2006
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Gromov-Witten theory and Donaldson-Thomas theory. II
D. Maulik, N. Nekrasov, A. Okounkov, and R. Pandharipande · 2006
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Fedosov quantization in positive characteristic
R. Bezrukavnikov and D. Kaledin · 2008
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Derived equivalences by quantization
D. Kaledin · 2008
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Quantum cohomology of the Hilbert scheme of points on A n A_{n} -resolutions
D. Maulik and A. Oblomkov · 2009
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Quantum integrability and supersymmetric vacua
N. A. Nekrasov and S. L. Shatashvili · 2009
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Supersymmetric vacua and Bethe ansatz
N. A. Nekrasov and S. L. Shatashvili · 2009
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The quantum differential equation of the Hilbert scheme of points in the plane
A. Okounkov and R. Pandharipande · 2010
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Quantum cohomology of the Springer resolution
A. Braverman, D. Maulik, and A. Okounkov · 2011
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Quantum groups and quantum cohomology
D. Maulik and A. Okounkov · 2019
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Three-dimensional mirror self-symmetry of the cotangent bundle of the full flag variety
R. Rimányi, A. Smirnov, A. Varchenko, and Z. Zhou · 2019
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3d mirror symmetry of the cotangent bundle of the full flag variety
H. Dinkins · 2020
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Pursuing quantum difference equations I: stable envelopes of subvarieties
Y. Kononov and A. Smirnov · 2020
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Pursuing quantum difference equations II: 3D-mirror symmetry
Y. Kononov and A. Smirnov · 2020
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The trigonometric Casimir connection of a simple Lie algebra
V. Toledano Laredo · 2011
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Symplectic reflection algebras and affine Lie algebras
P. Etingof · 2012
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Gromov-witten/pairs correspondence for the quintic 3-fold
R. Pandharipande and A. Pixton · 2012
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Representations of semisimple Lie algebras in prime characteristic and the noncommutative Springer resolution
R. Bezrukavnikov and I. Mirković · 2013
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The elliptic Hall algebra and the K K -theory of the Hilbert scheme of 𝔸 2 \mathbb{A}^{2}
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A. Neguţ · 2020
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Baxter Q Q -operator from quantum K K -theory
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Elliptic stable envelope for Hilbert scheme of points in the plane
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Elliptic stable envelopes
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Etingof’s conjecture for quantized quiver varieties
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Elliptic stable envelopes of affine type A A quiver varieties
H. Dinkins · 2021
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Correction to: The 2-leg vertex in K-theoretic DT theory
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3d Mirror Symmetry for Instanton Moduli Spaces
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Inductive construction of stable envelopes
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New quiver-like varieties and Lie superalgebras
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Three-Dimensional Mirror Symmetry and Elliptic Stable Envelopes
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Quantum differential and difference equations for Hilb n ( ℂ 2 ) \mathrm{Hilb}^{n}(\mathbb{C}^{2})
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Elliptic classes on Langlands dual flag varieties
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