On the algebraic Gordian distance
Geometric Topology
2018-10-19 v3
Abstract
Using Blanchfield pairings, we show that two Alexander polynomials cannot be realized by a pair of matrices with Gordian distance one if a corresponding quadratic equation does not have an integer solution. We also give an example of how our results help in calculating the Gordian distances, algebraic Gordian distances and polynomial distances.
Cite
@article{arxiv.1709.05626,
title = {On the algebraic Gordian distance},
author = {Jie Chen},
journal= {arXiv preprint arXiv:1709.05626},
year = {2018}
}