A complete invariant for doodles on a 2-sphere

Q3 Mathematics Communications in Mathematics Pub Date : 2024-01-17 DOI:10.46298/cm.12893
Jacob Mostovoy
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引用次数: 0

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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2 球体上涂鸦的完整不变式
我们为 2 球上的涂鸦定义了一个完整的不变量,它在特定类型的弦图系列中取值。具有 $n$ 弦图的系数是最多阶数为$2n$ 的涂鸦的有限类型不变式。
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来源期刊
Communications in Mathematics
Communications in Mathematics Mathematics-Mathematics (all)
CiteScore
1.00
自引率
0.00%
发文量
26
审稿时长
45 weeks
期刊介绍: Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.
期刊最新文献
Sharp Restriction Theory Weak polynomial identities of small degree for the Weyl algebra A complete invariant for doodles on a 2-sphere Lie pairs Non-associative algebraic structures: classification and structure
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