The intrinsic mirror construction conjecture
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.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Sources & referencesView supporting material
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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