Delta edge-homotopy invariants of spatial graphs via disk-summing the constituent knots
Geometric Topology
2020-05-19 v2
Abstract
In this paper we construct some invariants of spatial graphs by disk-summing the constituent knots and show the delta edge-homotopy invariance of them. As an application, we show that there exist infinitely many slice spatial embeddings of a planar graph up to delta edge-homotopy, and there exist infinitely many boundary spatial embeddings of a planar graph up to delta edge-homotopy.
Keywords
Cite
@article{arxiv.math/0703319,
title = {Delta edge-homotopy invariants of spatial graphs via disk-summing the constituent knots},
author = {Ryo Nikkuni},
journal= {arXiv preprint arXiv:math/0703319},
year = {2020}
}
Comments
14 pages, 17 figures