A Survey of Quantum Enhancements
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866918343825424384 |
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| author | Nelson, Sam |
| author_facet | Nelson, Sam |
| contents | In this short survey article we collect the current state of the art in the nascent field of \textit{quantum enhancements}, a type of knot invariant defined by collecting values of quantum invariants of knots with colorings by various algebraic objects over the set of such colorings. This class of invariants includes classical skein invariants and quandle and biquandle cocycle invariants as well as new invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1805_12230 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | A Survey of Quantum Enhancements Nelson, Sam Geometric Topology Quantum Algebra 57M27, 57M25 In this short survey article we collect the current state of the art in the nascent field of \textit{quantum enhancements}, a type of knot invariant defined by collecting values of quantum invariants of knots with colorings by various algebraic objects over the set of such colorings. This class of invariants includes classical skein invariants and quandle and biquandle cocycle invariants as well as new invariants. |
| title | A Survey of Quantum Enhancements |
| topic | Geometric Topology Quantum Algebra 57M27, 57M25 |
| url | https://arxiv.org/abs/1805.12230 |