Cutting arcs for torus links and trees

Filip Misev

doi:10.24033/bsmf.2747

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arXiv · 1409.0644

Cutting arcs for torus links and trees

Filip Misev

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Abstract

Among all torus links, we characterise those arising as links of simple plane curve singularities by the property that their fibre surfaces admit only a finite number of cutting arcs that preserve fibredness. The same property allows a characterisation of Coxeter-Dynkin trees (i.e., $A_n$, $D_n$, $E_6$, $E_7$ and $E_8$) among all positive tree-like Hopf plumbings.

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BibTeX RIS

Filip Misev. 2015-08-20. Cutting arcs for torus links and trees. https://doi.org/10.24033/bsmf.2747

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