2 problems

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Conjecture on crossing changes from alternating links to split links
Conjecture 12.2. Any crossing change that turns an alternating link into a split link is equivalent to changing some crossing in some alternating diagram.
Conjectureopenalternating-links knot-theory split-linksarXiv posted 2 days ago
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Projective-dimension characterization of split links
Split-link characterization. $B$ represents an $n$ -split link if and only if
Conjectureopenbraids homflypt-homology split-linksarXiv posted 2 days ago

Conjecture on crossing changes from alternating links to split links