Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds
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Publication:1789483
DOI10.1016/j.aim.2018.08.013zbMath1408.14177arXiv1801.02513OpenAlexW2783971644MaRDI QIDQ1789483
Yukinobu Toda, Yalong Cao, Davesh Maulik
Publication date: 10 October 2018
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.02513
Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)
Related Items (23)
Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau \(4\)-folds ⋮ Yang–Mills theories on geometric spaces ⋮ Curve counting via stable objects in derived categories of Calabi-Yau 4-folds ⋮ Gopakumar-Vafa type invariants on Calabi-Yau 4-folds via descendent insertions ⋮ Scattering diagrams, stability conditions, and coherent sheaves on ℙ² ⋮ Stable pairs and Gopakumar-Vafa type invariants on holomorphic symplectic 4-folds ⋮ Counting sheaves on Calabi-Yau 4-folds. I ⋮ A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds ⋮ Localizing virtual cycles for Donaldson-Thomas invariants of Calabi-Yau 4-folds ⋮ Correspondence of Donaldson-Thomas and Gopakumar-Vafa invariants on local Calabi-Yau 4-folds over \(V_5\) and \(V_{22}\) ⋮ A proof of N. Takahashi's conjecture for \(( \mathbb{P}^2, E)\) and a refined sheaves/Gromov-Witten correspondence ⋮ Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds ⋮ Stable maps to Looijenga pairs ⋮ Genus zero Gopakumar–Vafa type invariants for Calabi–Yau 4-folds II: Fano 3-folds ⋮ Counting perverse coherent systems on Calabi-Yau 4-folds ⋮ Determinantal Calabi-Yau varieties in Grassmannians and the Givental \(I\)-functions ⋮ Curve counting and DT/PT correspondence for Calabi-Yau 4-folds ⋮ Stable maps to Looijenga pairs: orbifold examples ⋮ Orientations for DT invariants on quasi-projective Calabi-Yau 4-folds ⋮ Tautological stable pair invariants of Calabi-Yau 4-folds ⋮ Holomorphic anomaly equation for and the Nekrasov-Shatashvili limit of local ⋮ Cosection localization and vanishing for virtual fundamental classes of d-manifolds ⋮ \(K\)-theoretic DT/PT correspondence for toric Calabi-Yau 4-folds
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