# Labels instead of coefficients: a label bracket which dominates the Jones polynomial, the Kuperberg bracket, and the normalised arrow polynomial

## TL;DR

This paper introduces a new pictorial formalism that produces an invariant surpassing several established knot invariants, including the Jones polynomial, Kuperberg bracket, and normalized arrow polynomial, for classical and virtual knots.

## Contribution

The paper develops a novel picture formalism that yields a unifying invariant dominating multiple known knot invariants.

## Key findings

- The new invariant generalizes existing invariants.
- It provides a more comprehensive characterization of knots.
- The formalism applies to both classical and virtual knots.

## Abstract

In the present paper, we develop a picture formalism which gives rise to an invariant that dominates several known invariants of classical and virtual knots: the Jones polynomial, the Kuperberg bracket, and the normalised arrow polynomial.

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Source: https://tomesphere.com/paper/1907.06502