{"title":"2 球体上涂鸦的完整不变式","authors":"Jacob Mostovoy","doi":"10.46298/cm.12893","DOIUrl":null,"url":null,"abstract":"We define a complete invariant for doodles on a 2-sphere which takes values\nin series of chord diagrams of certain type. The coefficients at the diagrams\nwith $n$ chords are finite type invariants of doodles of order at most $2n$.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A complete invariant for doodles on a 2-sphere\",\"authors\":\"Jacob Mostovoy\",\"doi\":\"10.46298/cm.12893\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We define a complete invariant for doodles on a 2-sphere which takes values\\nin series of chord diagrams of certain type. The coefficients at the diagrams\\nwith $n$ chords are finite type invariants of doodles of order at most $2n$.\",\"PeriodicalId\":37836,\"journal\":{\"name\":\"Communications in Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/cm.12893\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/cm.12893","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
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 $2n$.
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.
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