Unoriented link Floer homology satisfies an unoriented skein exact triangle over Z/2, with band maps matching Khovanov homology for planar links.
Baldwin and Adam Simon Levine, A combinatorial spanning tree model for knot F loer homology , Adv
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An unoriented skein exact triangle in unoriented link Floer homology
Unoriented link Floer homology satisfies an unoriented skein exact triangle over Z/2, with band maps matching Khovanov homology for planar links.