The orbifold quantum cohomology–Jacobian ring correspondence
The orbifold quantum cohomology–Jacobian ring correspondence
Let be a Gorenstein toric orbifold, and let be its Lagrangian Floer superpotential. Denote by its orbifold quantum cohomology ring and by the Jacobian ring of the superpotential. Orbifold Jacobian-ring conjecture. There is an isomorphism
The analogous isomorphism for toric manifolds was known from work of Fukaya, Oh, Ohta and Ono; the orbifold version was proposed for future investigation and remains open in the source.
Sources & referencesView supporting material
Primary source
Kwokwai Chan, Cheol-Hyun Cho, Siu-Cheong Lau and Hsian-Hua Tseng, “Lagrangian Floer superpotentials and crepant resolutions for toric orbifolds”, arXiv:1208.5282 (2014).
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