Contents Online
Mathematical Research Letters
Volume 26 (2019)
Number 5
Counting conics on sextic $4$-folds
Pages: 1343 – 1357
DOI: https://dx.doi.org/10.4310/MRL.2019.v26.n5.a5
Author
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.
Received 18 November 2018
Accepted 25 December 2018
Published 27 November 2019