The GW/DT4 conjecture for genus-zero invariants of Calabi–Yau fourfolds
The GW/DT4 conjecture for genus-zero invariants of Calabi–Yau fourfolds
Let be a sextic -fold, let be a curve class, and let . Denote by the genus-zero Gromov–Witten invariant with insertion , and by the corresponding Donaldson–Thomas invariant of one-dimensional stable sheaves, with the orientation chosen as below. GW/DT conjecture. There is a choice of orientation for which
This conjecture proposes an interpretation of Klemm–Pandharipande's Gopakumar–Vafa type invariants on Calabi–Yau fourfolds in terms of Donaldson–Thomas invariants. Its status is not resolved in the supplied source.
Sources & referencesView supporting material
Primary source
Yalong Cao, “Counting conics on sextic 4-folds”, arXiv:1805.04696 (2019).
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