{"title":"Two curious strongly invertible L-space knots","authors":"Kenneth L. Baker, Marc Kegel, Duncan McCoy","doi":"arxiv-2409.09833","DOIUrl":null,"url":null,"abstract":"We present two examples of strongly invertible L-space knots whose surgeries\nare never the double branched cover of a Khovanov thin link in the 3-sphere.\nConsequently, these knots provide counterexamples to a conjectural\ncharacterization of strongly invertible L-space knots due to Watson. We also\ndiscuss other exceptional properties of these two knots, for example, these two\nL-space knots have formal semigroups that are actual semigroups.","PeriodicalId":501271,"journal":{"name":"arXiv - MATH - Geometric Topology","volume":"16 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-15","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-2409.09833","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We present two examples of strongly invertible L-space knots whose surgeries
are never the double branched cover of a Khovanov thin link in the 3-sphere.
Consequently, these knots provide counterexamples to a conjectural
characterization of strongly invertible L-space knots due to Watson. We also
discuss other exceptional properties of these two knots, for example, these two
L-space knots have formal semigroups that are actual semigroups.
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