Work

A proof of GW/DT4 conjecture on local projective plane

Year: 2026
Type: preprint
Abstract: We prove a closed formula for DT4 invariants of one dimensional stable sheaves on the total space of $\mathcal{O}_{\mathbb{P}^2}(-1,-2)$ for all degree curve classes. During the proof, orientations of moduli spaces are chosen in a canonical way. Combining with Gopakumar-Vafa type invariants proposed and computed by Klemm-Pandharipande, we verify a conjecture proposed by the author, Maulik and Toda.
Author: Cao, Yalong
Language: English
Open Access status: green
OpenAlex ID: W7220718230
Cites: 5
Cited by: 1
Related to: 10