as shown in . As with other variants of Floer’s exact triangle, there is more symmetry between the three pictures than immediately meets the eye. The same pictures are drawn from a different point of view in the bottom row of Figure \[fig:J-skein-three-bars\], to exhibit the cyclic symmetry between the three. We write $K_{i}$ (as in the introduction) for the web obtained from $L_{i}$ by forgetting the two vertices inside the ball and deleting the edge joining them. Similar picture of the these webs are shown in Figure \[fig:J-skein\]. Let $\mu = (U_{\mu},
E_{\mu})$ be strong marking data with $U_{\mu}$ disjoint from $B$. We may regard $\mu$ as marking data for all three of the pairs $(Y,
L_{i})$ and all three of the pairs $(Y, K_{i})$.

![\[fig:J-skein-three-bars\] The three webs $L_{i}$, from two different points of view.](figures/J-skein-three-bars)

![\[fig:J-skein\] The three webs in $Y$ obtained from the $L_{i}$ by removing an edge.](figures/J-skein)

For each $i$, there is a standard cobordism from $K_{i+1}$ to $K_{i}$ given by a foam $\Sigma(K_{i+1}, K_{i})$ in $I \times Y$. (The index $i$ is to be interpreted cyclically.) The cobordism in each case is the addition of a standard $1$-handle. There are also standard cobordisms to and 