We prove a rank inequality on the instanton knot homology and the Khovanov homology of a link in $S^3$. The key step of the proof is to construct a spectral sequence relating Baldwin-Levine-Sarkar's pointed Khovanov homology to a singular instanton invariant for pointed links.

中文翻译：

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耳环、缝合线和尖头链节

我们证明了 $S^3$ 中链接的瞬时节点同源性和 Khovanov 同源性的秩不等式。证明的关键步骤是构建一个谱序列，将 Baldwin-Levine-Sarkar 的指向 Khovanov 同源性与指向链接的奇异瞬时子不变量相关联。