Genus two generalization of \(A_1\) spherical DAHA

DOI10.1007/s00029-019-0447-1zbMath1461.16035arXiv1704.02947OpenAlexW3105374364MaRDI QIDQ1729901

Xianqiang Yang

Publication date: 28 February 2019

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

Full work available at URL: https://arxiv.org/abs/1704.02947

zbMATH Keywords

Macdonald polynomialsRuijsenaars-Schneider model

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Quantum groups (quantized function algebras) and their representations (20G42) Group actions on manifolds and cell complexes in low dimensions (57M60) Difference algebra (12H10) Ring-theoretic aspects of quantum groups (16T20)

Related Items (8)

Multiplicity-free \(U_q(sl_N)\) 6-j symbols: relations, asymptotics, symmetries ⋮ On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry ⋮ Refined Chern–Simons theory in genus two ⋮ Matrix model and dimensions at hypercube vertices ⋮ Surface defects in E-string compactifications and the van Diejen model ⋮ Quantum Racah matrices and 3-strand braids in representation \([3,3\)] ⋮ DAHA and skein algebra of surfaces: double-torus knots ⋮ On the genus two skein algebra

Cites Work

• Unnamed Item
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• A simple presentation for the mapping class group of an orientable surface
• Invariant functions on Lie groups and Hamiltonian flows of surface group representations
• Quantum field theory and the Jones polynomial
• Ribbon graphs and their invariants derived from quantum groups
• Double affine Hecke algebras and Macdonald's conjectures
• Macdonald's polynomials and representations of quantum groups
• Super-A-polynomial for knots and BPS states
• Invariants of 3-manifolds via link polynomials and quantum groups
• Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models
• Knot homology and refined Chern-Simons index
• The Superpolynomial for Knot Homologies
• Jones Polynomials of Torus Knots via DAHA
• Refined Chern–Simons theory in genus two

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