Year: 2026
Type: preprint
Abstract: We compute Gromov--Witten (GW) and Donaldson-Thomas (DT) invariants (including descendant invariants) for local CY $4$-folds over a smooth quadric threefold $Q$, up to degree $4$. We use the virtual localization formula with respect to a two-dimensional torus action to compute DT invariants. Combining these results with the computation of the J-function of the variety $Q$, we confirm the correspondence between DT and Gopakumar--Vafa invariants suggested by Cao--Maulik--Toda in genus zero. Based on these results, we predict a genus one BPS invariant on $Q$.
Source: arXiv (Cornell University)
Authors: Chung, Kiryong, Lee, Sanghyeon
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221780457