The genus one Gromov-Witten invariants of Calabi-Yau complete intersections

DOI10.1090/S0002-9947-2012-05550-4zbMath1273.14116arXiv1007.3534MaRDI QIDQ4915131

Alexandra Popa

Publication date: 16 April 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.3534

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Applications of hypergeometric functions (33C90)

Related Items (15)

Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau \(4\)-folds ⋮ Mirror theorem for elliptic quasimap invariants of local Calabi--Yau varieties ⋮ Lectures on BCOV Holomorphic Anomaly Equations ⋮ Quasimap wall-crossings and mirror symmetry ⋮ Gromov–Witten theory of complete intersections via nodal invariants ⋮ Higher genus FJRW invariants of a Fermat cubic ⋮ A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves ⋮ A conjectural formula for genus one Gromov-Witten invariants of some local Calabi-Yau \(n\)-folds ⋮ The genus 0 Gromov-Witten invariants of projective complete intersections ⋮ Localization computation of one-point disk invariants of projective Calabi-Yau complete intersections ⋮ Mirror symmetry for closed, open, and unoriented Gromov-Witten invariants ⋮ Some Questions in the Theory of Pseudoholomorphic Curves ⋮ Mirror theorem for elliptic quasimap invariants ⋮ Lower degree curves in \(X_{3,3} \subset \mathbb{P} ^2 \times \mathbb{P} ^2\) ⋮ Energy bounds and vanishing results for the Gromov-Witten invariants of the projective space

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