  Inside a symplectic leaf of the cluster Poisson variety of Borel-decorated
$PGL_2$ local systems on a punctured surface is an isotropic subvariety we will
call the chromatic Lagrangian. Local charts for the quantized cluster variety
are quantum tori defined by cubic planar graphs, and can be put in standard
form after some additional markings giving the notion of a framed seed. The
mutation structure is encoded as a groupoid. The local description of the
chromatic Lagrangian defines a wavefunction which, we conjecture, encodes open
Gromov-Witten invariants of a Lagrangian threefold in threespace defined by the
cubic graph and the other data of the framed seed. We also find a relationship
we call framing duality: for a family of "canoe" graphs, wavefunctions for
different framings encode DT invariants of symmetric quivers.
