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DT-GV CORRESPONDENCE ON THE MUKAI-UMEMURA VARIETY
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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.
Title: DT-GV CORRESPONDENCE ON THE MUKAI-UMEMURA VARIETY
Description:
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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