We show that the limiting Khovanov chain complex of any infinite positive braid categorifies the Jones-Wenzl projector. This result extends Lev Rozansky's categorification of the Jones-Wenzl projectors using the limiting complex of infinite torus braids. We also show a similar result for the limiting Lipshitz-Sarkar-Khovanov homotopy types of the closures of such braids. Extensions to more general infinite braids are also considered.

中文翻译：

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无限辫子的 Khovanov 同源性

我们表明，任何无限正辫子的限制 Khovanov 链复合体都可以对 Jones-Wenzl 投影仪进行分类。这个结果扩展了 Lev Rozansky 对 Jones-Wenzl 投影仪的分类，使用无限圆环辫的极限复数。我们还展示了这种辫子闭合的限制 Lipshitz-Sarkar-Khovanov 同伦类型的类似结果。还考虑了对更一般的无限编织的扩展。