Counting conics on sextic 4-folds

Abstract

We study rational curves of degree two on a smooth sextic 4-fold and their counting invariant defined using Donaldson-Thomas theory of Calabi-Yau 4-folds. By comparing it with the corresponding Gromov-Witten invariant, we verify a conjectural relation between them proposed by the author, Maulik and Toda.

arXiv comment10 pages, typos fixed, to appear in Math. Res. Lett

References in corpus (4)

• Enumerative geometry of Calabi-Yau 4-folds
• Donaldson-Thomas theory for Calabi-Yau 4-folds
• Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds
• Orientability for gauge theories on Calabi-Yau manifolds

Cited by in corpus (5)

• Curve counting and DT/PT correspondence for Calabi-Yau 4-folds
• Curve counting via stable objects in derived categories of Calabi-Yau 4-folds
• Tautological stable pair invariants of Calabi-Yau 4-folds
• Enumerative invariants and wall-crossing formulae in abelian categories
• Correspondence of Donaldson-Thomas and Gopakumar-Vafa invariants on local Calabi-Yau 4-folds over V_5 and V_22