Jacob Mostovoy
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A complete invariant for doodles on a 2-sphere
cm:12893 -
Communications in Mathematics,
February 26, 2024,
Volume 31 (2023), Issue 3 (Special issue: in memory of Sergei Duzhin)
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https://doi.org/10.46298/cm.12893A complete invariant for doodles on a 2-sphereArticle
Authors: Jacob Mostovoy
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Jacob Mostovoy
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 $2n$.
Comment: 13 pages, many figures
Volume: Volume 31 (2023), Issue 3 (Special issue: in memory of Sergei Duzhin)
Published on: February 26, 2024
Accepted on: January 27, 2024
Submitted on: January 19, 2024
Keywords: Mathematics - Geometric Topology, 57K12, 57K16, 05C10