Joshua Wang
Published 2021-12-16, updated 2022-02-22Version 2
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.
Comments: 17 pages, 3 figures, added comments on systems of orientations in section 2
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