dorsal/arxiv
View SchemaLinks, Quantum Groups, and TQFT's
| Authors | Stephen Sawin |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9506002 |
| URL | https://arxiv.org/abs/q-alg/9506002 |
Abstract
The Jones polynomial and the Kauffman bracket are constructed, and their relation with knot and link theory is described. The quantum groups and tangle functor formalisms for understanding these invariants and their descendents are given. The quantum group $U_q(sl_2)$, which gives rise to the Jones polynomial, is constructed explicitly. The $3$-manifold invariants and the axiomatic topological quantum field theories which arise from these link invariants at certain values of the parameter are constructed.
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"date_created": "2026-03-02T18:01:24.711000Z",
"date_modified": "2026-03-02T18:01:24.711000Z",
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"record": {
"abstract": "The Jones polynomial and the Kauffman bracket are constructed, and their\nrelation with knot and link theory is described. The quantum groups and tangle\nfunctor formalisms for understanding these invariants and their descendents are\ngiven. The quantum group $U_q(sl_2)$, which gives rise to the Jones polynomial,\nis constructed explicitly. The $3$-manifold invariants and the axiomatic\ntopological quantum field theories which arise from these link invariants at\ncertain values of the parameter are constructed.",
"arxiv_id": "q-alg/9506002",
"authors": [
"Stephen Sawin"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"title": "Links, Quantum Groups, and TQFT\u0027s",
"url": "https://arxiv.org/abs/q-alg/9506002"
},
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