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arXiv · 2402.16103

A degeneration formula of Donaldson-Thomas theory on local Calabi-Yau 4-folds

Yalong Cao·Gufang Zhao·Zijun Zhou
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Abstract

We define relative Donaldson-Thomas invariants of local log Calabi-Yau 4-folds, under the assumption that the derived Hilbert scheme on the anti-canonical divisor is a derived critical locus. We prove a degeneration formula and apply it to compute zero dimensional invariants on $\mathbb{C}^4$ and on any local curve. This verifies a conjecture proposed by the first author and Kool.

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Yalong Cao, Gufang Zhao, Zijun Zhou. 2026-06-14. A degeneration formula of Donaldson-Thomas theory on local Calabi-Yau 4-folds. https://arxiv.org/abs/2402.16103

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