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- W1519788081 abstract "We will discuss a technique to distinguish knots via an algebraic invariant, namely the Alexander module, which is a module associated to the universal abelian cover of the complement of a knot. We will present a generalization of the Alexander module by constructing modules corresponding to different regular covering spaces of the knot complement. We will present a numerical invariant that can be extracted from these modules, and a procedure by which we can compute it in practice in the case of the first higher-order Alexander module. Finally, we will argue that this procedure could feasibly be followed algorithmically, and so a computer could be programmed to compute this numerical invariant." @default.
- W1519788081 created "2016-06-24" @default.
- W1519788081 creator A5063707677 @default.
- W1519788081 date "2020-07-13" @default.
- W1519788081 modified "2023-09-24" @default.
- W1519788081 title "A Discussion of Higher-Order Alexander Modules" @default.
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- W1519788081 doi "https://doi.org/10.14418/wes01.1.485" @default.
- W1519788081 hasPublicationYear "2020" @default.
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