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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228023This 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.Geometric TopologyAlgebraic TopologyNumber Theory57M25, 11R32, 11R34Analogies between Knots and Primes, 3-Manifolds and Number Ringstext