DT-GV correspondence on the Mukai-Umemura variety

Kiryong Chung; Joonyeong Won

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arXiv · 2603.05823

DT-GV correspondence on the Mukai-Umemura variety

Kiryong Chung·Joonyeong Won

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Abstract

We compute Donaldson-Thomas(DT) invariants and their descendant invariants for the local Calabi-Yau 4-fold over the Mukai-Umemura variety via several localization formulas. Assuming that the genus-one Gopakumar-Vafa(GV) type invariants vanish, our computations verify the predictions of Cao, Maulik, and Toda.

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Kiryong Chung, Joonyeong Won. 2026-03-06. DT-GV correspondence on the Mukai-Umemura variety. https://arxiv.org/abs/2603.05823

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