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math.GT2024
Knots whose braided satellite have the same HOMFLY polynomial up to given -degrees
Tetsuya Ito
For a given knot and , we construct infinitely many mutually distinct hyperbolic knots such that the -satellites of and have the same HOMFLY polynom…
math.GT2024
Genus non-increasing totally positive unknotting number
Tetsuya Ito
The genus non-increasing totally positive unknotting number is the minimum number of crossing changes that transform a knot into the unknot, such that all the crossing changes are…
math.GT2024★ 1 cited
Satellite fully positive braid links are braided satellite of fully positive braid links
Tetsuya Ito
A link in is a fully positive braid link if it is the closure of a positive braid that contains at least one full-twist. We show that a fully positive braid link is a satel…