Linking numbers for periodic tangles
Geometric Topology
2025-09-30 v1
Abstract
Periodic tangles are 1-dimensional submanifolds in the 3-space with translational symmetry. In this paper, we define the linking numbers for singly, doubly, and triply periodic tangles using appropriate motifs and show that they are well-defined and invariant under link-homotopy. Furthermore, we extend the notion to the higher order linking numbers for singly periodic tangles.
Keywords
Cite
@article{arxiv.2509.24568,
title = {Linking numbers for periodic tangles},
author = {Yuka Kotorii and Ken'ichi Yoshida},
journal= {arXiv preprint arXiv:2509.24568},
year = {2025}
}
Comments
14 pages, 8 figures