奇异勒让德平凡结链与相对Ginzburg代数
Singular Legendrian unknot links and relative Ginzburg algebras
AI总结：
本文通过构造与箭图及子箭图相关的带停止Weinstein流形，证明其奇异勒让德平凡结链的Chekanov--Eliashberg dg-代数与相对Ginzburg代数拟同构，并由此推出两者具有强相对光滑Calabi--Yau结构。
摘要：
我们将一个箭图及其子箭图$(Q,F)$关联到一个带停止的Weinstein流形$X$，其勒让德附着链是奇异勒让德平凡结链$\varLambda$。我们证明了$(Q,F)$的相对Ginzburg代数与$\varLambda$的Chekanov--Eliashberg dg-代数拟同构。由此得出，$\varLambda$相对于其边界dg-子代数的Chekanov--Eliashberg dg-代数，以及与$X$的部分缠绕Fukaya范畴相关的Orlov函子，均具有强相对光滑Calabi--Yau结构。
英文摘要：
We associate to a quiver and a subquiver $(Q,F)$ a stopped Weinstein manifold $X$ whose Legendrian attaching link is a singular Legendrian unknot link $\varLambda$. We prove that the relative Ginzburg algebra of $(Q,F)$ is quasi-isomorphic to the Chekanov--Eliashberg dg-algebra of $\varLambda$. It follows that the Chekanov--Eliashberg dg-algebra of $\varLambda$ relative to its boundary dg-subalgebra, and the Orlov functor associated to the partially wrapped Fukaya category of $X$ both admit a strong relative smooth Calabi--Yau structure.
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