Juhász–Zemke conjecture on agreement of link Floer TQFT maps

Let $(W,\a0\mathcal{F})$ be a decorated link cobordism, and for each $\operatorname{Spin}^c$ structure $\mathfrak{s}$ on $W$ let $\widehat{F}_{W,\mathcal{F},\mathfrak{s}}$ denote the hat-flavor map defined in this paper. Define

$$\widehat{F}_{W,\mathcal{F}}=\sum_{\mathfrak{s}\in \operatorname{Spin}^c(W)}\widehat{F}_{W,\mathcal{F},\mathfrak{s}}.$$

Juhász–Zemke conjecture. The maps $\widehat{F}_{W,\mathcal{F}}$ coincide with the maps $F_{W,\mathcal{F}}$ defined by Juhász using sutured Floer homology.

This conjecture compares two constructions of link cobordism maps in the hat flavor of link Floer homology. The source states that it was subsequently proved by Juhász and Zemke.