Analogies between Knots and Primes, 3-Manifolds 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, 3-manifolds and number rings mainly from the group-theoretic point of view.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2009
- DOI:
- 10.48550/arXiv.0904.3399
- arXiv:
- arXiv:0904.3399
- Bibcode:
- 2009arXiv0904.3399M
- Keywords:
-
- Mathematics - Geometric Topology;
- Mathematics - Algebraic Topology;
- Mathematics - Number Theory;
- 57M25;
- 11R32;
- 11R34