Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau \(4\)-folds

DOI10.4171/JEMS/1110zbMath1491.14077arXiv1902.00003MaRDI QIDQ2119372

Yukinobu Toda, Yalong Cao, Davesh Maulik

Publication date: 29 March 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.00003

zbMATH Keywords

stable pairsCalabi-Yau \(4\)-foldsGopakumar-Vafa type invariants

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)

Related Items (11)

Curve counting via stable objects in derived categories of Calabi-Yau 4-folds ⋮ 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 \(V_{22}\) ⋮ Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds ⋮ Counting perverse coherent systems on Calabi-Yau 4-folds ⋮ Tautological stable pair invariants of Calabi-Yau 4-folds ⋮ \(K\)-theoretic DT/PT correspondence for toric Calabi-Yau 4-folds ⋮ Holomorphic anomalies, fourfolds and fluxes

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