In the present paper, we construct an invariant of braids in the real projective plane which corresponds to an “action” of braids on certain graphs in ℝP 2 with labels. This paper is a sequel of papers [5],[4]. It demonstrates once more that solutions to the octagon relation in various forms give rise to invariants of braids.
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Vassily Olegovich Manturov (2026) studied this question.
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