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Consider monotone symplectic manifolds containing a smooth anticanonicaldivisor. Contingent on conjectures which relate quantum cohomology to thesymplectic cohomology of the divisor complement (a laBorman-Sheridan-Varolgunes), we show that the quantum connection has unramifiedexponential type. The argument involves wrapped Fukaya categories, theregularity theorem of Petrov-Vaintrob-Vologodsky in noncommutative geometry,and a new categorical interpretation of the Fourier-Laplace transform ofD-modules.

The quantum connection, Fourier-Laplace transform, and families of A-infinity-categories