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Analogies between Knots and Primes, 3-Manifolds and Number Rings

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(2009)cite arxiv:0904.3399.

Abstract

This is an expository article of our work on analogies between knot theory and algebraic number theory. We shall discuss foundational analogies between knots and primes, 3-manifolds and number rings mainly from the group-theoretic point of view.

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