Cherednik–Danilenko conjecture for compactified Jacobian Poincaré polynomials

Let $(r_1,s_1),\ldots,(r_{\ell},s_{\ell})$ be a sequence of characteristic pairs for an algebraic curve. Starting with $f_{\ell+1}:=p_1\in\Lambda$, recursively apply the operators $\gamma_{r_i,s_i}$ and evaluate at $1$ as described in the paper, obtaining a symmetric function $f_1$ of degree $r_1\cdots r_{\ell}$. Cherednik–Danilenko conjecture. The specialization at $t=1$ of

$$(f_1,e_{r_1\cdots r_{\ell}})$$

agrees with the Poincaré polynomial of the compactified Jacobian of an algebraic curve with characteristic pairs $(r_1,s_1),\ldots,(r_{\ell},s_{\ell})$. This conjecture connects symmetric functions constructed from the characteristic pairs with the geometry of compactified Jacobians; the cited source presents it as a conjecture, and no resolution is supplied here.