# Quantum Enhancements via Tribracket Brackets

## TL;DR

This paper introduces tribracket brackets, a new family of skein invariants for knots and links that generalize classical quantum invariants and cocycle invariants, offering new tools for knot classification.

## Contribution

It develops the concept of tribracket brackets, unifying and extending existing invariants, and provides explicit examples and future research directions.

## Key findings

- Introduced tribracket brackets as skein invariants.
- Unified classical quantum and cocycle invariants within a broader framework.
- Provided explicit examples demonstrating the new invariants.

## Abstract

We enhance the tribracket counting invariant with \textit{tribracket brackets}, skein invariants of tribracket-colored oriented knots and links analogously to biquandle brackets. This infinite family of invariants includes the classical quantum invariants and tribracket cocycle invariants as special cases, as well as new invariants. We provide explicit examples as well as questions for future work.