{"title":"自由副环基团的扩链和l2扭转","authors":"Matt Clay","doi":"10.1142/s1793525323500036","DOIUrl":null,"url":null,"abstract":"We introduce a condition on the monodromy of a free-by-cyclic group, Gφ, called the chain flare condition, that implies that the L–torsion, ρ(Gφ), is non-zero. We conjecture that this condition holds whenever the monodromy is exponentially growing.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2021-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Chain flaring and L2-torsion of free-by-cyclic groups\",\"authors\":\"Matt Clay\",\"doi\":\"10.1142/s1793525323500036\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce a condition on the monodromy of a free-by-cyclic group, Gφ, called the chain flare condition, that implies that the L–torsion, ρ(Gφ), is non-zero. We conjecture that this condition holds whenever the monodromy is exponentially growing.\",\"PeriodicalId\":49151,\"journal\":{\"name\":\"Journal of Topology and Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2021-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Topology and Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1142/s1793525323500036\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Topology and Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s1793525323500036","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Chain flaring and L2-torsion of free-by-cyclic groups
We introduce a condition on the monodromy of a free-by-cyclic group, Gφ, called the chain flare condition, that implies that the L–torsion, ρ(Gφ), is non-zero. We conjecture that this condition holds whenever the monodromy is exponentially growing.
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This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.
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