Quantum Enhancements and Biquandle Brackets

@article{Nelson2015QuantumEA,
title={Quantum Enhancements and Biquandle Brackets},
author={Sam Nelson and Michael E. Orrison and Veronica Rivera},
journal={arXiv: Geometric Topology},
year={2015}
}
• Published 26 August 2015
• Mathematics
• arXiv: Geometric Topology
We introduce a new class of quantum enhancements we call biquandle brackets, which are customized skein invariants for biquandle colored links.Quantum enhancements of biquandle counting invariants form a class of knot and link invariants that includes biquandle cocycle invariants and skein invariants such as the HOMFLY-PT polynomial as special cases, providing an explicit unification of these apparently unrelated types of invariants. We provide examples demonstrating that the new invariants are…
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