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Published in 2018 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2018.08.013
Abstract: Abstract In analogy with the Gopakumar–Vafa conjecture on CY 3-folds, Klemm and Pandharipande defined GV type invariants on Calabi–Yau 4-folds using Gromov–Witten theory and conjectured their integrality. In this paper, we propose a sheaf-theoretic interpretation…
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Keywords:
genus zero;
calabi yau;
yau folds;
type invariants ... See more keywords
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Published in 2021 at "Duke Mathematical Journal"
DOI: 10.1215/00127094-2020-0045
Abstract: Calabi--Yau manifolds have risen to prominence in algebraic geometry, in part because of mirror symmetry and enumerative geometry. After Bershadsky--Cecotti--Ooguri--Vafa (BCOV), it is expected that genus 1 curve counting on a Calabi--Yau manifold is related…
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Keywords:
calabi yau;
geometry;
manifolds degenerations;
invariants calabi ... See more keywords