Coherent band pathways between knots and links
Geometric Topology
2014-08-12 v1 Biological Physics
Biomolecules
Abstract
We categorise coherent band (aka nullification) pathways between knots and 2-component links. Additionally, we characterise the minimal coherent band pathways (with intermediates) between any two knots or 2-component links with small crossing number. We demonstrate these band surgeries for knots and links with small crossing number. We apply these results to place lower bounds on the minimum number of recombinant events separating DNA configurations, restrict the recombination pathways and determine chirality and/or orientation of the resulting recombinant DNA molecules.
Keywords
Cite
@article{arxiv.1408.1799,
title = {Coherent band pathways between knots and links},
author = {Dorothy Buck and Kai Ishihara},
journal= {arXiv preprint arXiv:1408.1799},
year = {2014}
}