A complete invariant for doodles on a 2-sphere

Fuente: arXiv
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Autore principale: Mostovoy, Jacob
Natura: Preprint
Pubblicazione: 2024
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author Mostovoy, Jacob
author_facet Mostovoy, Jacob
contents 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 $2n$.
format Preprint
id arxiv_https___arxiv_org_abs_2401_09598
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A complete invariant for doodles on a 2-sphere
Mostovoy, Jacob
Geometric Topology
57K12, 57K16, 05C10
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 $2n$.
title A complete invariant for doodles on a 2-sphere
topic Geometric Topology
57K12, 57K16, 05C10
url https://arxiv.org/abs/2401.09598