dorsal/arxiv
View SchemaNon-involutory Hopf algebras and 3-manifold invariants
| Authors | Greg Kuperberg |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9712047 |
| URL | https://arxiv.org/abs/q-alg/9712047 |
| Journal | Duke Math J., 84(1):83-129, 1996 |
Abstract
We present a definition of an invariant #(M,H), defined for every finite-dimensional Hopf algebra (or Hopf superalgebra or Hopf object) H and for every closed, framed 3-manifold M. When H is a quantized universal enveloping algebra, #(M,H) is closely related to well-known quantum link invariants such as the HOMFLY polynomial, but it is not a topological quantum field theory.
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"abstract": "We present a definition of an invariant #(M,H), defined for every\nfinite-dimensional Hopf algebra (or Hopf superalgebra or Hopf object) H and for\nevery closed, framed 3-manifold M. When H is a quantized universal enveloping\nalgebra, #(M,H) is closely related to well-known quantum link invariants such\nas the HOMFLY polynomial, but it is not a topological quantum field theory.",
"arxiv_id": "q-alg/9712047",
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"Greg Kuperberg"
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"journal_ref": "Duke Math J., 84(1):83-129, 1996",
"title": "Non-involutory Hopf algebras and 3-manifold invariants",
"url": "https://arxiv.org/abs/q-alg/9712047"
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