Categorification of Biquandle Arrow Weight Invariants via Quivers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915126791110656 |
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| author | Nelson, Sam Sakurai, Migiwa |
| author_facet | Nelson, Sam Sakurai, Migiwa |
| contents | Introduced in arXiv:2211.12606, biquandle arrow weight invariants are enhancements of the biquandle counting invariant for oriented virtual and classical knots defined from biquandle-colored Gauss diagrams using a tensor over an abelian group satisfying certain properties. In this paper we categorify the biquandle arrow weight polynomial invariant using biquandle coloring quivers, obtaining new infinite families of polynomial invariants of oriented virtual and classical knots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17307 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Categorification of Biquandle Arrow Weight Invariants via Quivers Nelson, Sam Sakurai, Migiwa Geometric Topology Quantum Algebra 57K12 Introduced in arXiv:2211.12606, biquandle arrow weight invariants are enhancements of the biquandle counting invariant for oriented virtual and classical knots defined from biquandle-colored Gauss diagrams using a tensor over an abelian group satisfying certain properties. In this paper we categorify the biquandle arrow weight polynomial invariant using biquandle coloring quivers, obtaining new infinite families of polynomial invariants of oriented virtual and classical knots. |
| title | Categorification of Biquandle Arrow Weight Invariants via Quivers |
| topic | Geometric Topology Quantum Algebra 57K12 |
| url | https://arxiv.org/abs/2501.17307 |