Coverage conjecture for real knot Floer homology of a doubled knot

Let $K$ be any knot in $S^3$. The notation $\tau K^r$ denotes the image of the reverse knot under the involution $\tau$, and $\fra$ denotes auxiliary data for the real knot Floer group.

Coverage conjecture. The bigraded group $\widehat{\operatorname{HFK}}(K)$ can be covered from

$$\widehat{\operatorname{HFKR}}(K\#\tau K^r,\fra)$$

for any choice of auxiliary data.

This conjecture proposes that the ordinary knot Floer homology of any knot is recoverable from the real knot Floer homology of its associated connected sum. The meaning of “covered from” is not further specified in the supplied text, so the precise relationship remains to be clarified.