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Homology Groups and Ideal Class Groups I—Genus Theory

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Knots and Primes

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Abstract

In this chapter we review Gauss’ genus theory from the link-theoretic point of view. We shall see that the notion of genera is defined by using the idea analogous to the linking number. We also present, vice versa, a topological analogue of genus theory.

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Correspondence to Masanori Morishita .

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Morishita, M. (2012). Homology Groups and Ideal Class Groups I—Genus Theory. In: Knots and Primes. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-2158-9_6

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