The Signed Weighted Resolution Set is Not a Complete Pseudoknot Invariant

Allison Henrich; Slavik Jablan; Inga Johnson

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arXiv · 1412.7722

The Signed Weighted Resolution Set is Not a Complete Pseudoknot Invariant

Allison Henrich·Slavik Jablan·Inga Johnson

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Abstract

When the signed weighted resolution set was defined as an invariant of pseudoknots, it was unknown whether this invariant was complete. Using the Gauss-diagrammatic invariants of pseudoknots introduced by Dorais et al, we show that the signed were-set cannot distinguish all non-equivalent pseudoknots. This goal is achieved through studying the effects of a flype-like local move on a pseudodiagram.

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Allison Henrich, Slavik Jablan, Inga Johnson. 2014-12-24. The Signed Weighted Resolution Set is Not a Complete Pseudoknot Invariant. https://arxiv.org/abs/1412.7722

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