Analogies between Knots and Primes, 3-Manifolds and Number Rings
Geometric Topology
2009-04-23 v1 Algebraic Topology
Number Theory
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.
Keywords
Cite
@article{arxiv.0904.3399,
title = {Analogies between Knots and Primes, 3-Manifolds and Number Rings},
author = {Masanori Morishita},
journal= {arXiv preprint arXiv:0904.3399},
year = {2009}
}