dorsal/arxiv
View SchemaFinite type link invariants and the non-invertibility of links
| Authors | Xiao-Song Lin |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9601019 |
| URL | https://arxiv.org/abs/q-alg/9601019 |
Abstract
We show that a variation of Milnor's $\bar\mu$-invariants, the so-called Campbell-Hausdorff invariants introduced recently by Stefan Papadima, are of finite type with respect to {\it marked singular links}. These link invariants are stronger than quantum invariants in the sense that they detect easily the non-invertibility of links with more than one components. It is still open whether some effectively computable knot invariants, e.g. finite type knot invariants (Vassiliev invariants), could detect the non-invertibility of knots.
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"date_created": "2026-03-02T18:01:27.544000Z",
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"abstract": "We show that a variation of Milnor\u0027s $\\bar\\mu$-invariants, the so-called\nCampbell-Hausdorff invariants introduced recently by Stefan Papadima, are of\nfinite type with respect to {\\it marked singular links}. These link invariants\nare stronger than quantum invariants in the sense that they detect easily the\nnon-invertibility of links with more than one components. It is still open\nwhether some effectively computable knot invariants, e.g. finite type knot\ninvariants (Vassiliev invariants), could detect the non-invertibility of knots.",
"arxiv_id": "q-alg/9601019",
"authors": [
"Xiao-Song Lin"
],
"categories": [
"q-alg",
"math.QA"
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"title": "Finite type link invariants and the non-invertibility of links",
"url": "https://arxiv.org/abs/q-alg/9601019"
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