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Delta edge-homotopy invariants of spatial graphs via disk-summing the constituent knots

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.

preprint2007arXivOpen access
Ryo Nikkuni
math.GT
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Ryo Nikkuni

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