Peripheral elements in reduced Alexander modules

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Abstract
  • We discuss meridians and longitudes in reduced Alexander modules of classical and virtual links. When these elements are suitably defined, each link component will have many meridians, but only one longitude. Enhancing the reduced Alexander module by singling out these peripheral elements provides a significantly stronger link invariant. In particular, the enhanced module determines all linking numbers in a link; in contrast, the module alone does not even detect how many linking numbers are 0.
TitlePeripheral elements in reduced Alexander modules
CreatorTraldi, Lorenzo
PublisherJournal of Knot Theory and Its Ramifications
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date IssuedAugust 2022
Date Available2023-01-24
TypeArticle
LanguageEnglish
KeywordAlexander module
meridian
longitude
linking number
Bibliographic CitationTraldi, L. (2022 Aug) "Peripheral elements in reduced Alexander modules." Journal of Knot Theory and Its Ramifications 31 (9): 2250058.
Standard IdentifierDOI 10.1142/S0218216522500584
Handle 10385/05741t207
Related Resourcehttps://ezproxy.lafayette.edu/login?url=https://www.worldscientific.com/doi/10.1142/S0218216522500584
Permalinkhttp://hdl.handle.net/10385/05741t207
Rights Statement In Copyright In Copyright
Rights HoldersWorld Scientific Publishing Company
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