Quandles with one non-trivial column
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913214154932224 |
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| author | Cazet, Nicholas |
| author_facet | Cazet, Nicholas |
| contents | The axioms of a quandle imply that the columns of its Cayley table are permutations. This paper studies quandles with exactly one non-trivially permuted column. Their automorphism groups, quandle polynomials, (symmetric) cohomology groups, and $Hom$ quandles are studied. The quiver and cocycle invariant of links using these quandles are shown to relate to linking number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_15815 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quandles with one non-trivial column Cazet, Nicholas Quantum Algebra Geometric Topology The axioms of a quandle imply that the columns of its Cayley table are permutations. This paper studies quandles with exactly one non-trivially permuted column. Their automorphism groups, quandle polynomials, (symmetric) cohomology groups, and $Hom$ quandles are studied. The quiver and cocycle invariant of links using these quandles are shown to relate to linking number. |
| title | Quandles with one non-trivial column |
| topic | Quantum Algebra Geometric Topology |
| url | https://arxiv.org/abs/2303.15815 |