Quantum Enhancements and Biquandle Brackets

  title={Quantum Enhancements and Biquandle Brackets},
  author={Sam Nelson and Michael E. Orrison and Veronica Rivera},
  journal={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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  • Sam Nelson
  • Mathematics
    Knots, Low-Dimensional Topology and Applications
  • 2019
In this short survey article we collect the current state of the art in the nascent field of \textit{quantum enhancements}, a type of knot invariant defined by collecting values of quantum invariants
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