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arXiv · 2105.04095

The ST correspondence for proper non-positive dg algebras

Houjun Zhang
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Abstract

Let $A$ be a proper non-positive dg algebra over a field $k$. For a simple-minded collection of the finite-dimensional derived category $\mathcal{D}_{fd}(A)$, we construct a 'dual' silting object of the perfect derived category $\mathrm{per}(A)$ by using the Koszul duality for dg algebras. This induces a one-to-one correspondence between the equivalence classes of silting objects in $\mathrm{per}(A)$ and algebraic t-structures of $\mathcal{D}_{fd}(A)$.

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Houjun Zhang. 2021-05-10. The ST correspondence for proper non-positive dg algebras. https://arxiv.org/abs/2105.04095

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