The positive Yangian–cohomological Hall algebra isomorphism conjecture

Let $Q$ be a quiver, let $\mathbb{Y}_+$ be the positive half of the Maulik–Okounkov Yangian, let $K$ be the scalar extension used in the paper, and set $\mathbb{Y}_{+,K}=\mathbb{Y}_+\otimes_{\Bbbk}K$. Let $\operatorname{Y}\nolimits_K$ denote the corresponding scalar extension of the cohomological Hall algebra. Positive Yangian–cohomological Hall algebra conjecture. There is a unique $K$-algebra isomorphism

$$\mathbb{Y}_{+,K}\simeq\operatorname{Y}\nolimits_K$$

up to some central elements, intertwining the actions of $\mathbb{Y}_{+,K}$ and $\operatorname{Y}\nolimits_K$ on $F_w\otimes_{\Bbbk}K$ for every dimension vector $w$. The conjecture refines the expected identification of the positive Yangian with the cohomological Hall algebra; the paper proves an embedding but leaves this isomorphism statement open.