Splitting numbers of links and the four-genus

Livingston, Charles

doi:10.1090/proc/13703

Splitting numbers of links and the four-genus
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by Charles Livingston PDF

Proc. Amer. Math. Soc. 146 (2018), 421-427 Request permission

Abstract:

The splitting number of a link is the minimum number of crossing changes between distinct components that is required to convert the link into a split link. We provide a bound on the splitting number in terms of the four-genus of related knots.

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