Quantum K-theoretic geometric Satake: the case
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Publication:4602847
DOI10.1112/S0010437X17007564zbMath1433.17014arXiv1509.00112MaRDI QIDQ4602847
Publication date: 7 February 2018
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.00112
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Group actions on varieties or schemes (quotients) (14L30) (K)-theory of schemes (19E08) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) (14A30) Sheaves in algebraic geometry (14F06)
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Cites Work
- The \(\mathfrak{sl}_n\) foam 2-category: a combinatorial formulation of Khovanov-Rozansky homology via categorical skew Howe duality
- Webs and quantum skew Howe duality
- Quantum Satake in type \(A\). I
- Trace decategorification of categorified quantum \(\mathfrak {sl}_2\)
- Crystal bases and two-sided cells of quantum affine algebras
- Categorical geometric skew Howe duality
- Equidimensionality of convolution morphisms and applications to saturation problems.
- Clasp technology to knot homology via the affine Grassmannian
- Knot homology via derived categories of coherent sheaves. I: The \(\mathfrak{sl}(2)\)-case
- Twisted Whittaker model and factorizable sheaves
- Knot homology via derived categories of coherent sheaves. II: \(\mathfrak{sl}_{m}\) case
- Electric-magnetic duality and the geometric Langlands program
- Proof of the Deligne-Langlands conjecture for Hecke algebras
- Lefschetz-Riemann-Roch theorem and coherent trace formula
- Closures of conjugacy classes of matrices are normal
- The affine \(q\)-Schur algebra
- Braided groups and quantum Fourier transform
- \(\text{sl}(3)\) link homology
- Quantum deformation of Whittaker modules and the Toda lattice.
- On quiver varieties and affine Grassmannians of type A.
- Skein modules from skew Howe duality and affine extensions
- Knot homology via derived categories of coherent sheaves. IV: Coloured links
- Presenting affine \(q\)-Schur algebras
- Quantized multiplicative quiver varieties.
- Geometric Langlands duality and representations of algebraic groups over commutative rings
- Generalized \(q\)-Schur algebras and quantum Frobenius
- Braided symmetric and exterior algebras
- Equivariant Satake category and Kostant-Whittaker reduction
- Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de jacquet et ye
- Quiver varieties and finite dimensional representations of quantum affine algebras
- Sutured annular Khovanov-Rozansky homology
- Annular Khovanov homology and knotted Schur–Weyl representations
- Integrating quantum groups over surfaces
- Buildings, spiders, and geometric Satake
- Introduction to quantum groups
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