Compositio Mathematica ( IF 1.200 ) Pub Date : 2020-01-07 , DOI: 10.1112/s0010437x19007760
Pierrick Bousseau

Gross, Hacking and Keel have constructed mirrors of log Calabi–Yau surfaces in terms of counts of rational curves. Using $q$ -deformed scattering diagrams defined in terms of higher-genus log Gromov–Witten invariants, we construct deformation quantizations of these mirrors and we produce canonical bases of the corresponding non-commutative algebras of functions.

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