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arXiv · 2309.10555

The higher rank local categorical DT/PT correspondence

Wu-yen Chuang
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Abstract

In this paper we derive the higher rank local DT/PT models via the perverse coherent systems on the resolved conifold and the extended ADHM quiver, as critical loci. We generalize the categorical DT/PT correspondence by P\u{a}durariu and Toda to higher ranks and obtain the categorical wallcrossing formula as semiorthogonal decompositions.

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Wu-yen Chuang. 2023-09-19. The higher rank local categorical DT/PT correspondence. https://arxiv.org/abs/2309.10555

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