6 problems

Symplectic exchange conjecture. The topological recursion for this exchanged spectral curve produces the generating series of fully simple maps of any topology. This conjecture ide…

Fully simple stuffed-map conjecture. After the same symplectic change of variables as above and a transformation of the blobs that is still to be described, blobbed topological rec…

Fully simple loop-model conjecture. After the symplectic transformation

Fully simple quadrangulation formula conjecture. The number of planar fully simple quadrangulations is

Fully simple amplitude conjecture. For ordinary maps or maps with loops,

Fully simple maps conjecture. We conjecture that the generating series of fully simple maps are computed by the topological recursion after exchange of $x$ and $y$.