The knot Floer homology and embedded contact homology correspondence conjecture

Let $K\subset M$ be a null-homologous knot of genus $g$. Let $N$ be the complement of an open tubular neighbourhood of $K$, and let $\alpha$ be a contact form on $N$ for which $\partial N$ is a negative Morse-Bott torus foliated by meridians of $K$. For each integer $i$, let $ECH^\sharp_i(N,\alpha)$ denote the homology of the subcomplex of $ECH^\sharp(N,\alpha)$ generated by orbit sets in $N$ with total linking number $i$ with $K$.

ECH–knot Floer correspondence conjecture. There is an isomorphism

$$ECH^\sharp_i(N,\alpha)\cong \widehat{HFK}(M,K,i-g).$$

This conjecture is obtained by combining the preceding sutured ECH–SFH conjecture with a theorem relating the relevant ECH groups and the relation between sutured Floer homology and knot Floer homology. Its resolution is not specified in the source.