TL;DR
This paper investigates the enumeration of degree-two rational curves on sextic fourfolds using Donaldson-Thomas theory, and compares these counts with Gromov-Witten invariants to verify a conjectured relationship.
Contribution
It introduces a new counting invariant for rational conics on sextic 4-folds and confirms a conjectural relation with Gromov-Witten invariants.
Findings
Verification of the conjectural relation between Donaldson-Thomas and Gromov-Witten invariants.
Development of a counting invariant for conics on sextic 4-folds.
Comparison between different enumerative theories for Calabi-Yau 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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.