Analogies between Knots and Primes, 3Manifolds and Number Rings
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, 3manifolds and number rings mainly from the grouptheoretic point of view.
 Publication:

arXiv eprints
 Pub Date:
 April 2009
 arXiv:
 arXiv:0904.3399
 Bibcode:
 2009arXiv0904.3399M
 Keywords:

 Mathematics  Geometric Topology;
 Mathematics  Algebraic Topology;
 Mathematics  Number Theory;
 57M25;
 11R32;
 11R34