Finite type link invariants and the non-invertibility of links
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.
- Publication:
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eprint arXiv:q-alg/9601019
- Pub Date:
- January 1996
- DOI:
- 10.48550/arXiv.q-alg/9601019
- arXiv:
- arXiv:q-alg/9601019
- Bibcode:
- 1996q.alg.....1019L
- Keywords:
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- Mathematics - Quantum Algebra
- E-Print:
- 18 pages, amslatex