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arXiv · 2401.09598

A complete invariant for doodles on a 2-sphere

Jacob Mostovoy
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Abstract

We define a complete invariant for doodles on a 2-sphere which takes values in series of chord diagrams of certain type. The coefficients at the diagrams with $n$ chords are finite type invariants of doodles of order at most $2n$.

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Jacob Mostovoy. 2024-02-22. A complete invariant for doodles on a 2-sphere. https://doi.org/10.46298/cm.12893

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