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arXiv · 1403.3165

Showing distinctness of surface links by taking 2-dimensional braids

Inasa Nakamura
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Abstract

For an oriented surface link $S$, we can take a satellite construction called a 2-dimensional braid over $S$, which is a surface link in the form of a covering over $S$. We demonstrate that 2-dimensional braids over surface links are useful for showing the distinctness of surface links. We investigate non-trivial examples of surface links with free abelian group of rank two, concluding that their link types are infinitely many.

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Inasa Nakamura. 2014-03-13. Showing distinctness of surface links by taking 2-dimensional braids. https://doi.org/10.2140/pjm.2015.278.235

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