Effective determination conjecture for quintic FJRW invariants

Let Θg,k\Theta_{g,k} denote the genus-gg FJRW invariants of the quintic with kk insertions, and consider the relations obtained from the virtual-localization equations for mixed spin PP-fields. Effective determination conjecture. The equations using d0=0d_0=0 and nonempty γ\gamma's, that is, with markings, give relations that effectively evaluate all Θg,k\Theta_{g,k}. This would provide an effective procedure for fully determining the FJRW invariants of the quintic, complementing the finite initial-data determination described earlier; the source gives no resolution of this speculation.

Sources & referencesView supporting material

Primary source

Huai-Liang Chang, Jun Li, Wei-Ping Li and Chiu-Chu Melissa Liu, “On the mathematics and physics of Mixed Spin P-Fields”, arXiv:1907.06152 (2019).

Additional references

2 papers in this index state this conjecture (2016–2019). The statement above is taken from the most recent of them; the others are arXiv:1603.02092.

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