{"title":"特殊手术对双曲节产生的3链","authors":"Alberto Cavicchioli, Fulvia Spaggiari","doi":"10.1016/j.exco.2025.100182","DOIUrl":null,"url":null,"abstract":"<div><div>We study some closed connected orientable 3–manifolds obtained by Dehn surgery along the oriented components of the 3-chain link. For such manifolds, we describe exceptional surgeries related to some results from Audoux et al. (2018) and Martelli and Petronio (2006). Then we construct a related family of hyperbolic knots in the 3-sphere, which admit two consecutive Seifert fibered surgeries and two toroidal fillings at distance 3. Such additional examples are not mentioned in the quoted papers.</div></div>","PeriodicalId":100517,"journal":{"name":"Examples and Counterexamples","volume":"7 ","pages":"Article 100182"},"PeriodicalIF":0.0000,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exceptional surgeries on hyperbolic knots arising from the 3-chain link\",\"authors\":\"Alberto Cavicchioli, Fulvia Spaggiari\",\"doi\":\"10.1016/j.exco.2025.100182\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We study some closed connected orientable 3–manifolds obtained by Dehn surgery along the oriented components of the 3-chain link. For such manifolds, we describe exceptional surgeries related to some results from Audoux et al. (2018) and Martelli and Petronio (2006). Then we construct a related family of hyperbolic knots in the 3-sphere, which admit two consecutive Seifert fibered surgeries and two toroidal fillings at distance 3. Such additional examples are not mentioned in the quoted papers.</div></div>\",\"PeriodicalId\":100517,\"journal\":{\"name\":\"Examples and Counterexamples\",\"volume\":\"7 \",\"pages\":\"Article 100182\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-02-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Examples and Counterexamples\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2666657X25000096\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Examples and Counterexamples","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666657X25000096","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exceptional surgeries on hyperbolic knots arising from the 3-chain link
We study some closed connected orientable 3–manifolds obtained by Dehn surgery along the oriented components of the 3-chain link. For such manifolds, we describe exceptional surgeries related to some results from Audoux et al. (2018) and Martelli and Petronio (2006). Then we construct a related family of hyperbolic knots in the 3-sphere, which admit two consecutive Seifert fibered surgeries and two toroidal fillings at distance 3. Such additional examples are not mentioned in the quoted papers.
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