Generating series of stable pairs descendent invariants on Fano 3-folds are rational and q ↔ q^{-1} symmetric.
Gross, The homology of moduli stacks of complexes, 2019, arXiv preprint, https: //arxiv.org/abs/1907.03269
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Establishes wall-crossing for Calabi-Yau four dg-quivers and local CY fourfolds via refined vertex algebras and a new stable infinity-categorical framework for virtual pullbacks.
PT generating functions with descendents are rational, with controlled poles, for superpositive curve classes on projective complex 3-folds.
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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.
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