Family Floer superpotential's critical values are eigenvalues of quantum product by
arXiv:2112.13537 · doi:10.1007/s00029-024-01012-7
Abstract
In the setting of the non-archimedean SYZ mirror construction (arXiv:2003.06106), we prove the folklore conjecture that the critical values of the mirror superpotential are the eigenvalues of the quantum multiplication by the first Chern class. Our result relies on a weak unobstructed assumption, but it is usually ensured in practice by Solomon's results on anti-symmetric Lagrangians. Lastly, we note that some explicit examples are presented in the recent work (arXiv:2206.04652).
Final version. To appear in Selecta