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Knots and Primes: An Introduction to Arithmetic Topology

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Knots and Primes: An Introduction to Arithmetic Topology - Morishita, Masanori
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This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. Common aspects of both knot theory and number theory, for instance knots in three manifolds versus primes in a number field, are compared throughout the book. These comparisons begin at an elementary level, slowly building up to ...

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Knots and Primes: An Introduction to Arithmetic Topology 2011, Springer London Ltd, England

ISBN-13: 9781447121572

Paperback