Homological mirror symmetry for the non-Calabi–Yau suspension
Homological mirror symmetry for the non-Calabi–Yau suspension
Let be an invertible polynomial not of Calabi--Yau type, let be the associated quotient stack, let be the corresponding Milnor fiber, and let and denote the indicated singularity categories, with the latter consisting of objects supported at the origin. Non-Calabi–Yau suspension conjecture. For any such , there are equivalences
and
of -categories. This is a proposed categorical mirror-symmetry statement for the suspension construction; no resolution status is supplied in the source.
Sources & referencesView supporting material
Primary source
Yanki Lekili and Kazushi Ueda, “Rabinowitz Fukaya categories as cluster categories”, arXiv:2406.15915 (2026).
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