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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.
Keywords
unlinking numbers, prime link, nonsplit link, Goeritz
matrix
Mathematical Subject Classification 2010
Primary: 57M25, 57M27
Milestones
Received: 9 January 2017
Revised: 9 April 2017
Accepted: 23 April 2017
Published: 17 September 2017
Communicated by Colin Adams