Invariant stability conditions on local $\mathbb{P}^1\times \mathbb{P}^1$ (after Del Monte-Longhi)

Yirui Xiong

Invariant stability conditions on local $\mathbb{P}^1\times \mathbb{P}^1$ (after Del Monte-Longhi)

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arxiv 2404.05232 v2 pith:CQEPDHF7 submitted 2024-04-08 math.AG math.RT

Yirui Xiong This is my paper · ORCID

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keywords conditionsinvariantstabilitymathbbspaceautoequivalencebundlecanonical

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abstract

Let $X$ be the total space of canonical bundle of $\pp$, we study an invariant subspace of stability conditions on $X$ under an autoequivalence of $D^b(X)$. We describe the complete set of stable objects with respect to the invariant stability conditions and characterize the space of invariant stability conditions.

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Invariant Stability Conditions on Certain Calabi-Yau Threefolds
math.AG 2024-12 accept novelty 6.0 of 10

Invariant stability conditions on local Calabi-Yau threefolds are shown to be fixed points of a group action, with all Donaldson-Thomas invariants computed explicitly.

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