{"title":"联系勒让德式八字结手术","authors":"J. Conway","doi":"10.4310/jsg.2019.v17.n4.a4","DOIUrl":null,"url":null,"abstract":"We show that all positive contact surgeries on every Legendrian figure-eight knot in ( S 3 , ξ std ) result in an overtwisted contact structure. The proof uses convex surface theory and invariants from Heegaard Floer homology.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Contact surgeries on Legendrian figure-eight knots\",\"authors\":\"J. Conway\",\"doi\":\"10.4310/jsg.2019.v17.n4.a4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that all positive contact surgeries on every Legendrian figure-eight knot in ( S 3 , ξ std ) result in an overtwisted contact structure. The proof uses convex surface theory and invariants from Heegaard Floer homology.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/jsg.2019.v17.n4.a4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/jsg.2019.v17.n4.a4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Contact surgeries on Legendrian figure-eight knots
We show that all positive contact surgeries on every Legendrian figure-eight knot in ( S 3 , ξ std ) result in an overtwisted contact structure. The proof uses convex surface theory and invariants from Heegaard Floer homology.
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