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.
Citation
Ryo Nikkuni. "Delta edge-homotopy invariants of spatial graphs via disk-summing the constituent knots." Illinois J. Math. 52 (2) 629 - 644, Summer 2008. https://doi.org/10.1215/ijm/1248355354
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