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

Autor:	Baker, Kenneth L., Buck, Dorothy, O'Donnol, Danielle, Moore, Allison H., Taylor, Scott
Rok vydání:	2022
Předmět:	Mathematics - Geometric Topology 2020: 57K10 57K12
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.08213 Zobrazit plný text záznamu View this record from Arxiv