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Introduction

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Knots and Primes

Part of the book series: Universitext ((UTX))

Abstract

Starting with the work of Gauss on quadratic residues and linking numbers, we review some histories of knot theory and number theory that branched out after Gauss. In particular, we trace the string of thoughts on geometrization of number theory which led to the theme of this book, arithmetic topology—a new branch of mathematics bridging between knot theory and number theory. An outline of this book is also included.

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Authors and Affiliations

  1. Graduate School of Mathematics, Kyushu University, Fukuoka, 819-0395, Japan

    Masanori Morishita

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  1. Masanori Morishita
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Correspondence to Masanori Morishita .

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Morishita, M. (2012). Introduction. In: Knots and Primes. Universitext. Springer, London. https://doi.org/10.1007/978-1-4471-2158-9_1

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