Givental-type genus-zero mirror symmetry conjecture for the small FJRW I-function
Givental-type genus-zero mirror symmetry conjecture for the small FJRW I-function
Let be an admissible LG pair, and let be its small FJRW -function. Let be defined by the coefficient of in the small -function, and let be the corresponding -function. Genus-zero mirror symmetry conjecture. The small -function lies on the Lagrangian cone. In particular, there is a formal power series in and such that
This strengthens the preceding special-case mirror formula to a statement that the small -function lies on the genus-zero FJRW Lagrangian cone; the source gives no resolution.
Sources & referencesView supporting material
Primary source
Yefeng Shen and Ming Zhang, “Quantum spectrum and Gamma structures for quasi-homogeneous polynomials of general type”, arXiv:2309.07446 (2025).
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