{"title":"关于三度纯仙人掌群和圆上四点构型空间的说明","authors":"Takatoshi Hama, Kazuhiro Ichihara","doi":"arxiv-2408.15478","DOIUrl":null,"url":null,"abstract":"The cactus group was introduced by Henriques and Kamnitzer as an analogue of\nthe braid group. In this note, we provide an explicit description of the\nrelationship between the pure cactus group of degree three and the\nconfiguration space of four points on the circle.","PeriodicalId":501271,"journal":{"name":"arXiv - MATH - Geometric Topology","volume":"6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A note on the pure cactus group of degree three and the configuration space of four points on the circle\",\"authors\":\"Takatoshi Hama, Kazuhiro Ichihara\",\"doi\":\"arxiv-2408.15478\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The cactus group was introduced by Henriques and Kamnitzer as an analogue of\\nthe braid group. In this note, we provide an explicit description of the\\nrelationship between the pure cactus group of degree three and the\\nconfiguration space of four points on the circle.\",\"PeriodicalId\":501271,\"journal\":{\"name\":\"arXiv - MATH - Geometric Topology\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Geometric Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.15478\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Geometric Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.15478","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A note on the pure cactus group of degree three and the configuration space of four points on the circle
The cactus group was introduced by Henriques and Kamnitzer as an analogue of
the braid group. In this note, we provide an explicit description of the
relationship between the pure cactus group of degree three and the
configuration space of four points on the circle.
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