Detecting the orientation of long links by finite type invariants

S. V. Duzhin; M. V. Karev

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Detecting the orientation of long links by finite type invariants

S. V. Duzhin·M. V. Karev

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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 $\gl(n)$.

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BibTeX RIS

S. V. Duzhin, M. V. Karev. 2005-07-25. Detecting the orientation of long links by finite type invariants. https://arxiv.org/abs/math/0507015

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