The intrinsic mirror construction conjecture
Let be a Fano manifold with smooth anticanonical divisor . For a suitable submonoid , let be the intrinsic mirror dual, where
is a formal degenerating family of affine Calabi–Yau manifolds and is the unique primitive theta function. Intrinsic mirror construction conjecture. The broken line expansion of in a chamber of the wall structure near infinity is the open mirror map of . This extends the proper-potential/open-mirror-map relationship to intrinsic mirrors in the non-toric and higher-dimensional settings; the source gives no resolution of the conjecture.
References
Primary source
Tim Gräfnitz, Helge Ruddat and Eric Zaslow, “The proper Landau-Ginzburg potential is the open mirror map”, arXiv:2204.12249 (2024).
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