Stable Pair Invariants of Local Calabi–Yau 4-folds

DOI10.1093/imrn/rnab061zbMath1490.14090arXiv2004.09355OpenAlexW3178760163MaRDI QIDQ5068525

Martijn Kool, Yalong Cao, Sergej Monavari

Publication date: 6 April 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09355

zbMATH Keywords

intersection numbersGromov-Witten invariantsstable pair invariantsHilbert scheme of pointsGopakumar-Vafa invariantsCalabi-Yau 4-foldsAtiyah-Bott localizationCarlsson-Okounkov numbers

Mathematics Subject Classification ID

(4)-folds (14J35) 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)

Double nested Hilbert schemes and the local stable pairs theory of curves ⋮ 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 ⋮ 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 ⋮ Stable maps to Looijenga pairs ⋮ Curve counting and DT/PT correspondence for Calabi-Yau 4-folds ⋮ Tautological stable pair invariants of Calabi-Yau 4-folds ⋮ \(K\)-theoretic DT/PT correspondence for toric Calabi-Yau 4-folds

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