Abstract
We investigate spherical links: that is, disjoint embeddings of 1-spheres and 0-spheres in the 2-sphere, where the notion of a split link is analogous to the usual concept. In the quest to enumerate distinct nonsplit -links for arbitrary , we must consider when it is possible for an embedding of circles and an even number of points to form a nonsplit link. The main result is a set of necessary and sufficient conditions for such an embedding. The final section includes tables of the distinct embeddings that yield nonsplit -links for .
Citation
Madeleine Burkhart. Joel Foisy. "Enumerating spherical $n$-links." Involve 11 (2) 195 - 206, 2018. https://doi.org/10.2140/involve.2018.11.195
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