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

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

2009-04-22

arxiv.org/abs/0904.3399v1

Mathematics

Geometric Topology

Scientific paper

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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