Counting conics on sextic 4-folds
arXiv:1805.04696 · doi:10.4310/MRL.2019.v26.n5.a5
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.
10 pages, typos fixed, to appear in Math. Res. Lett