dorsal/arxiv
View SchemaThe universal Vassiliev invariant for the Lie superalgebra gl(1|1)
| Authors | José M Figueroa-O'Farrill, Takashi Kimura, Arkady Vaintrob |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9602014 |
| URL | https://arxiv.org/abs/q-alg/9602014 |
| DOI | 10.1007/s002200050083 |
| Journal | Commun.Math.Phys. 185 (1997) 93-127 |
Abstract
We compute the universal weight system for Vassiliev invariants coming from the Lie superalgebra gl(1|1) applying the construction of \cite{YB}. This weight system is a function from the space of chord diagrams to the center $Z$ of the universal enveloping algebra of gl(1|1), and we find a combinatorial expression for it in terms of the standard generators of $Z$. The resulting knot invariants generalize the Alexander-Conway polynomial.
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"abstract": "We compute the universal weight system for Vassiliev invariants coming from\nthe Lie superalgebra gl(1|1) applying the construction of \\cite{YB}. This\nweight system is a function from the space of chord diagrams to the center $Z$\nof the universal enveloping algebra of gl(1|1), and we find a combinatorial\nexpression for it in terms of the standard generators of $Z$. The resulting\nknot invariants generalize the Alexander-Conway polynomial.",
"arxiv_id": "q-alg/9602014",
"authors": [
"Jos\u00e9 M Figueroa-O\u0027Farrill",
"Takashi Kimura",
"Arkady Vaintrob"
],
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"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1007/s002200050083",
"journal_ref": "Commun.Math.Phys. 185 (1997) 93-127",
"title": "The universal Vassiliev invariant for the Lie superalgebra gl(1|1)",
"url": "https://arxiv.org/abs/q-alg/9602014"
},
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