Unlinking numbers of links with crossing number 10

Lavinia Bulai

doi:10.2140/involve.2018.11.335

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Home > Journals > Involve > Volume 11 > Issue 2 > Article

2018 Unlinking numbers of links with crossing number 10

Lavinia Bulai

Involve 11(2): 335-353 (2018). DOI: 10.2140/involve.2018.11.335

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Abstract

We investigate the unlinking numbers of 10-crossing links. We make use of various link invariants and explore their behaviour when crossings are changed. The methods we describe have been used previously to compute unlinking numbers of links with crossing number at most 9. Ultimately, we find the unlinking numbers of all but two of the 287 prime, nonsplit links with crossing number 10.