彩虹闭包的高阶勒让德同调的消失
Vanishing of higher Legendrian homology for rainbow closures
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中文总结 AI 辅助
该研究证明正辫子的彩虹闭包给出的勒让德链环，其高阶勒让德同调在任意股数、交叉数及积分、单基点情形下均消失。
中文摘要 AI 辅助
我们证明，由正辫子的彩虹闭包给出的任意勒让德链环的高阶勒让德同调必然消失。该结果在最一般情形下成立：适用于任意股数、交叉数，积分情形，且勒让德链环的每个分支各带一个基点。
英文摘要
We show that the higher Legendrian homology of any Legendrian link given by the rainbow closure of a positive braid must necessarily vanish. The result is proven in the most general setting: for any number of strands and crossings, integrally and with one basepoint per component of the Legendrian link.
