Primality of theta-curves with proper rational tangle unknotting number one

Kenneth L. Baker,Dorothy Buck,Danielle O'Donnol,Allison H. Moore,Scott Taylor

arXiv (Cornell University)（2022）

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摘要

We show that if a composite $\theta$-curve has (proper rational) unknotting number one, then it is the order 2 sum of a (proper rational) unknotting number one knot and a trivial $\theta$-curve. We also prove similar results for 2-strand tangles and knotoids.

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关键词

proper rational tangle,theta-curves

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