English

Concordance of spatial graphs

Geometric Topology 2023-07-24 v2

Abstract

We define smooth notions of concordance and sliceness for spatial graphs. We prove that sliceness of a spatial graph is equivalent to a condition on a set of linking numbers together with sliceness of a link associated to the graph. This generalizes the result of Taniyama for θ\theta-curves.

Keywords

Cite

@article{arxiv.2205.11001,
  title  = {Concordance of spatial graphs},
  author = {Egor Lappo},
  journal= {arXiv preprint arXiv:2205.11001},
  year   = {2023}
}

Comments

14 pages

R2 v1 2026-06-24T11:25:05.895Z