Papers › An Elliptic Generalization of A₁ Spherical DAHA at K=2
An Elliptic Generalization of A₁ Spherical DAHA at K=2
S. Arthamonov, Sh. Shakirov
The archive published only this paper's code-link row. Authors, date and abstract are from arXiv's metadata (CC0), read from the Kaggle arXiv metadata snapshot of 2026-09-12 where its title matched the archive's; the title is the archive's.
We construct an algebra that is an elliptic generalization of A₁ spherical DAHA acting on its finite-dimensional module at t=-q^(-K/2) with K=2. We prove that PSL(2,ℤ) acts by automorphisms of the algebra we constructed, and provide an explicit representation of automorphisms and algebra operators alike by 3×3 matrices of elliptic functions. A relation of this construction to the K-theory character of affine Laumon space is conjectured. We point out two potential applications, respectively to SL(3,ℤ) symmetry of Felder-Varchenko functions and to new elliptic invariants of torus knots and Seifert manifolds.
Code
Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.
Code Syntology ran Syntology
Not run by Syntology. Nothing on this page verifies that the listed code works.
Results from the paper archive 2025-07-28
No leaderboard rows for this paper in the archive.
Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections