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arXiv · 2411.18991

Octagon and tropical octagon yield braid invariants

Vassily Olegovich Manturov
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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 $\R{}P^{2}$ with labels. This paper is a sequel of papers \cite{M},\cite{KM}. 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. 2024-11-28. Octagon and tropical octagon yield braid invariants. https://arxiv.org/abs/2411.18991

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