The trace of the affine Hecke category

DOI10.1112/plms.12523zbMath1522.20026arXiv2201.07144OpenAlexW4367603267MaRDI QIDQ6075087

Andrei Neguţ, Eugene Gorsky

Publication date: 20 September 2023

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.07144

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Categorification (18N25)

Cites Work

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• On two geometric realizations of an affine Hecke algebra
• On the Hall algebra of an elliptic curve. I.
• Hall algebras of curves, commuting varieties and Langlands duality
• Refined knot invariants and Hilbert schemes
• Trace decategorification of categorified quantum \(\mathfrak {sl}_2\)
• The HOMFLYPT skein algebra of the torus and the elliptic Hall algebra
• Categorifications of the extended affine Hecke algebra and the affine \(q\)-Schur algebra \(\widehat {\mathbf S} (n,r)\) for \(3 \leq r < n\)
• Equivariant \(K\)-theory of Hilbert schemes via shuffle algebra
• Drinfeld realization of the elliptic Hall algebra
• Addendum to: Olivier Schiffmann, ``Drinfeld realization of the elliptic Hall algebra
• The elliptic Hall algebra and the deformed Khovanov Heisenberg category
• The \(q\)-AGT-W relations via shuffle algebras
• Quantum link homology via trace functor. I
• The elliptic Hall algebra and the \(K\)-theory of the Hilbert scheme of \(\mathbb{A}^{2}\)
• Kleinian singularities, derived categories and Hall algebras
• K-theoretic Hall algebras, quantum groups and super quantum groups
• Toric braids and \((m,n)\)-parking functions
• Evaluations of annular Khovanov-Rozansky homology
• Hecke correspondences for smooth moduli spaces of sheaves
• Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology
• Affine braid group, JM elements and knot homology
• Shuffle algebras for quivers and wheel conditions
• The Shuffle Algebra Revisited
• Minimal length elements of extended affine Weyl groups
• Combinatorics of Coxeter Groups
• Moduli of flags of sheaves and their K-theory
• A commutative algebra on degenerate CP1 and Macdonald polynomials
• Affine braid group actions on derived categories of Springer resolutions
• On theK-Theoretic Hall Algebra of a Surface
• Derived Traces of Soergel Categories
• A spectral incarnation of affine character sheaves
• Soergel calculus
• A Proof of the Extended Delta Conjecture
• W$W$‐algebras associated to surfaces
• 3D TQFT and HOMFLYPT homology
• Two-dimensional categorified Hall algebras

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