One-Term Parity Bracket For Braids

Vassily Olegovich Manturov

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arXiv · 1501.00580

One-Term Parity Bracket For Braids

Vassily Olegovich Manturov

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Abstract

In previous papers, the author realized the following principle for many knot theories: if a knot diagram is complicated enough then it reproduces itself, i.e., is a subdiagram of any other diagram equivalent to it. This principle is realized by diagram-valued invariants [ ] of knots such that [K]=K. It turns out that in the case of free braids, the same principle can be realized an unexpectedly easy way by a one-term invariant formula.

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Vassily Olegovich Manturov. 2015-01-03. One-Term Parity Bracket For Braids. https://arxiv.org/abs/1501.00580

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