(a) In the programme of §3.2, in dimension $m\geqslant 3,$ for the Lagrangians $L^{t}$ at nonsingular times $t\neq T_{i}$ we should allow Lagrangians with ‘stable special Lagrangian singularities’. These should include stable isolated conical singularities, as in [33], and probably also other classes of non-isolated or non-conical singularities.

For example, if $m=k+l$ with $k,l>0$ and $C$ is a stable special Lagrangian cone in ${\mathbin{\mathbb{C}}}^{k}$ as above, the author expects that Lagrangians $L$ with $l$-dimensional singularities locally modelled on $C\times{\mathbin{\mathbb{R}}}^{l}$ in ${\mathbin{\mathbb{C}}}^{k}\times{\mathbin{\mathbb{C}}}^{l}={\mathbin{\mathbb{C}}}^{m}$ are ‘stable’.

In dimension $m=3,$ Lagrangians with conical singularities modelled on the $T^{2}$-cone $C$ in (2.4) may be the only kind required. As $m$ increases, the singularities allowed will probably become more and more complicated.