Arc spaces and DAHA representations

DOI10.1007/s00029-012-0096-0zbMath1261.14015arXiv1110.1674OpenAlexW2022394695MaRDI QIDQ1941772

Eugene Gorsky

Publication date: 21 March 2013

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1674

zbMATH Keywords

symmetric groupdifferential formdouble affine Hecke algebrarational Cherednik algebraarc space

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Singularities of curves, local rings (14H20) Representation theory of associative rings and algebras (16G99) Root systems (17B22)

Related Items (12)

BPS states in the \(\Omega\)-background and torus knots ⋮ Towards \(\mathcal{R}\)-matrix construction of Khovanov-Rozansky polynomials I. Primary \(T\)-deformation of HOMFLY ⋮ Modules over plane curve singularities in any ranks and DAHA ⋮ Introduction to Khovanov homologies. I. Unreduced Jones superpolynomial ⋮ The condensate from torus knots ⋮ Lectures on knot homology ⋮ DAHA approach to iterated torus links ⋮ Refined knot invariants and Hilbert schemes ⋮ DAHA and plane curve singularities ⋮ On statistical models on super trees ⋮ Condensates and instanton - torus knot duality. Hidden Physics at UV scale ⋮ Representations of rational Cherednik algebras with minimal support and torus knots.

Cites Work

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• Differential-Difference Operators Associated to Reflection Groups
• Morita equivalence of Cherednik algebras
• Euler number of the compactified Jacobian and multiplicity of rational curves
• Invariants of Finite Reflection Groups

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