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Octagon and tropical octagon yield braid invariants

2024/11/28 by Vassily Olegovich Manturov, Manturov, Vassily Olegovich
Computer Science · #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2411.18991

Abstract

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 \RP2 with labels. This paper is a sequel of papers \citeM,\citeKM. It demonstrates once more that solutions to the octagon relation in various forms give rise to invariants of braids.

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