Generating series of stable pairs descendent invariants on Fano 3-folds are rational and q ↔ q^{-1} symmetric.
Pandharipande, Descendents for stable pairs on 3-folds, Modern geometry: a celebration of the work of S imon D onaldson, Proc
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Rationality and symmetry of stable pairs generating series of Fano 3-folds
Generating series of stable pairs descendent invariants on Fano 3-folds are rational and q ↔ q^{-1} symmetric.