Psyquandle Brackets
Geometric Topology
2025-08-20 v1 Quantum Algebra
Abstract
We extend the notion of biquandle brackets to the case of psyquandles, defining quantum enhancements of the psyquandle counting invariant for singular knots and pseudoknots. We provide examples to illustrate the computation of these invariants, establishing that the enhancement is proper. We compute a few toy examples, noting that the true power of this infinite family of invariants lies in more computationally expensive larger-cardinality psyquandles and infinite coefficient rings.
Keywords
Cite
@article{arxiv.2508.13331,
title = {Psyquandle Brackets},
author = {Sam Nelson and Natsumi Oyamaguchi},
journal= {arXiv preprint arXiv:2508.13331},
year = {2025}
}
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14 pages