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A complete invariant for doodles on a 2-sphere

Published 17 Jan 2024 in math.GT | (2401.09598v2)

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 nn chords are finite type invariants of doodles of order at most $2n$.

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