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arxiv: 0904.3399 · v1 · submitted 2009-04-22 · 🧮 math.GT · math.AT· math.NT

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

classification 🧮 math.GT math.ATmath.NT
keywords analogiesnumberknotsmanifoldsprimesringstheoryalgebraic
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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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