Psyquandle Brackets
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912541870915584 |
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| author | Nelson, Sam Oyamaguchi, Natsumi |
| author_facet | Nelson, Sam Oyamaguchi, Natsumi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13331 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Psyquandle Brackets Nelson, Sam Oyamaguchi, Natsumi Geometric Topology Quantum Algebra 57K12 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. |
| title | Psyquandle Brackets |
| topic | Geometric Topology Quantum Algebra 57K12 |
| url | https://arxiv.org/abs/2508.13331 |