Split link detection for sl(P) link homology in characteristic P

Joshua Wang

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arXiv · 2112.09110

Split link detection for sl(P) link homology in characteristic P

Joshua Wang

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Abstract

If $P$ is a prime number, we show that reduced $\mathfrak{sl}(P)$ link homology with coefficients in $\mathbf{Z}/P$ detects split links. The argument uses Dowlin's spectral sequence and sutured Floer homology with twisted coefficients. When $P = 2$, we recover Lipshitz-Sarkar's split link detection result for Khovanov homology with $\mathbf{Z}/2$ coefficients.

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Joshua Wang. 2021-12-16. Split link detection for sl(P) link homology in characteristic P. https://arxiv.org/abs/2112.09110

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