6 problems

Let $N$ be a positive integer, and let $x_i$, $p_i$, $m$, $\beta$, $\mathfrak{q}$, and $p_{6d}$ be the parameters and variables appearing in the generating function … For…

Quantum DELL eigenvalue conjecture. The instanton partition function is a simultaneous eigenfunction of the quantum DELL Hamiltonians:

Let $\mathfrak{P}_N(x_i;p\mid y_i;s\mid q,t,\omega)$ be the elliptic Shiraishi function, let $\Psi_\mu^{KS}$ denote the prospective eigenfunction of the full KS Hamiltonians, and l…

The ELS-functions are the new functions obtained by replacing ordinary Gamma functions with elliptic Gamma functions in the coefficients of the Shiraishi-function series. They are…

Let $\mathbf{x}=(x_1,\ldots,x_N)$ be the position vector, and let $\mathscr{Z}(p,\mathbf{x})$ be a properly normalized equivariant elliptic genus of the affine Laumon space in the…

Consider the quantum double-elliptic (DELL) system with $N-1$ degrees of freedom and Hamiltonians … where the operators $\widehat{\mathcal{O}}_a$ are Fourier modes of the DELL curr…