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- W2016561143 abstract "Following the conceptual analogies between knots and primes, 3-manifolds and number fields, we discuss an analogue in knot theory after the model of the arithmetical theory of genera initiated by Gauss. We present an analog for cyclic coverings of links following along the line of Iyanaga-Tamagawa's genus theory for cyclic extentions over the rational number field. We also give examples of $mathbf{Z} / 2mathbf{Z} times mathbf{Z} / 2mathbf{Z}$-coverings of links for which the principal genus theorem does not hold." @default.
- W2016561143 created "2016-06-24" @default.
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- W2016561143 date "2001-09-01" @default.
- W2016561143 modified "2023-10-16" @default.
- W2016561143 title "A theory of genera for cyclic coverings of links" @default.
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- W2016561143 doi "https://doi.org/10.3792/pjaa.77.115" @default.
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