Detecting the orientation of long links by finite type invariants
Geometric Topology
2009-09-29 v5 Combinatorics
Abstract
We prove the existence of a degree 7 Vassiliev invariant of long (or string) two-component links which is not preserved under the simultaneous change of orientation of both components. The non-invertibility of this invariant can be detected by the standard weight system with values in the tensor square of the universal enveloping algebra for .
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Cite
@article{arxiv.math/0507015,
title = {Detecting the orientation of long links by finite type invariants},
author = {S. V. Duzhin and M. V. Karev},
journal= {arXiv preprint arXiv:math/0507015},
year = {2009}
}
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