Biquandle Power Brackets
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911762357420032 |
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| author | Gügümcü, Neslihan Nelson, Sam |
| author_facet | Gügümcü, Neslihan Nelson, Sam |
| contents | In this paper, we introduce biquandle power brackets, an infinite family of invariants of oriented links containing the classical skein invariants and the quandle and biquandle 2-cocycle invariants as special cases. Biquandle power brackets are generalizations of biquandle brackets in which the values of Kauffman states also depend on the biquandle colors they admit. We provide example computations and discuss the relationship between these new invariants and the previous cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11956 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Biquandle Power Brackets Gügümcü, Neslihan Nelson, Sam Geometric Topology Quantum Algebra 57K12 In this paper, we introduce biquandle power brackets, an infinite family of invariants of oriented links containing the classical skein invariants and the quandle and biquandle 2-cocycle invariants as special cases. Biquandle power brackets are generalizations of biquandle brackets in which the values of Kauffman states also depend on the biquandle colors they admit. We provide example computations and discuss the relationship between these new invariants and the previous cases. |
| title | Biquandle Power Brackets |
| topic | Geometric Topology Quantum Algebra 57K12 |
| url | https://arxiv.org/abs/2401.11956 |