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math.GT 1

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2025 1

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CONDITIONAL 1

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When is arc crossing change an unknotting operation?

math.GT · 2025-09-10 · conditional · novelty 7.0

Type I arc crossing change unknots every link diagram; type II leaves a Hopf link residue when the total linking number is odd, and any two crossings in an alternating knot diagram can be switched.

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  • When is arc crossing change an unknotting operation? math.GT · 2025-09-10 · conditional · none · ref 8

    Type I arc crossing change unknots every link diagram; type II leaves a Hopf link residue when the total linking number is odd, and any two crossings in an alternating knot diagram can be switched.