R-matrix reconstruction conjecture for the intersection of two quadrics
R-matrix reconstruction conjecture for the intersection of two quadrics
Let be the complete intersection of two quadric hypersurfaces in , and let be a genus surface. Suppose an R-matrix relates the two splittings of the quantum cohomology induced by the cyclic open-closed map and by the canonical Gromov–Witten splitting. R-matrix reconstruction conjecture. This R-matrix recovers all, including higher-genus, Gromov–Witten invariants of from the genus , -point invariants of and the all-genus Gromov–Witten invariants of . This is a concrete reconstruction claim in the paper's example of the intersection of two quadrics; the source does not report a resolution.
Sources & referencesView supporting material
Primary source
Kai Hugtenburg, “The cyclic open-closed map, u-connections and R-matrices”, arXiv:2205.13436 (2024).
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