论文标题

Khovanov通过福卡亚类别的不变性:纠缠不变的人同意

Khovanov invariants via Fukaya categories: the tangle invariants agree

论文作者

Kotelskiy, Artem, Watson, Liam, Zibrowius, Claudius

论文摘要

Given a pointed 4-ended tangle $T \subset D^3$, there are two Khovanov theoretic tangle invariants, $\unicode{1044}_1(T)$ from [arXiv:1910.1458] and $L_T$ from [arXiv:1808.06957], which are twisted complexes over the Fukaya category of the boundary 4-punctured sphere $(s^2,4 \ text {pt})= \ partial(d^3,t)$。我们证明这两个不变性是相同的。

Given a pointed 4-ended tangle $T \subset D^3$, there are two Khovanov theoretic tangle invariants, $\unicode{1044}_1(T)$ from [arXiv:1910.1458] and $L_T$ from [arXiv:1808.06957], which are twisted complexes over the Fukaya category of the boundary 4-punctured sphere $(S^2,4\text{pt})=\partial (D^3, T)$. We prove that these two invariants are the same.

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