dorsal/arxiv
View SchemaLink invariants from $N$-state vertex models: an alternative construction independent of statistical models
| Authors | M. J. Rodriguez-Plaza |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9606012 |
| URL | https://arxiv.org/abs/q-alg/9606012 |
| DOI | 10.1016/0550-3213(96)00319-7 |
| Journal | Nucl.Phys. B475 (1996) 691-709 |
Abstract
We reproduce the hierarchy of link invariants associated to the series of $N$-state vertex models with a method different from the original construction due to Akutsu, Deguchi and Wadati. The alternative method substitutes the `crossing symmetry' property exhibited by the Boltzmann weights of the vertex models by a similar property which, for the purpose of constructing link invariants, encodes the same information but requires only the limit of the Boltzmann weights when the spectral parameter is sent to infinity.
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"abstract": "We reproduce the hierarchy of link invariants associated to the series of\n$N$-state vertex models with a method different from the original construction\ndue to Akutsu, Deguchi and Wadati. The alternative method substitutes the\n`crossing symmetry\u0027 property exhibited by the Boltzmann weights of the vertex\nmodels by a similar property which, for the purpose of constructing link\ninvariants, encodes the same information but requires only the limit of the\nBoltzmann weights when the spectral parameter is sent to infinity.",
"arxiv_id": "q-alg/9606012",
"authors": [
"M. J. Rodriguez-Plaza"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1016/0550-3213(96)00319-7",
"journal_ref": "Nucl.Phys. B475 (1996) 691-709",
"title": "Link invariants from $N$-state vertex models: an alternative construction independent of statistical models",
"url": "https://arxiv.org/abs/q-alg/9606012"
},
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