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Doubly slice odd pretzel knots
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-09-18 , DOI: 10.1090/proc/15022
Clayton McDonald

Abstract:We prove that an odd pretzel knot is doubly slice if it has $ 2n+1$ twist parameters consisting of $ n+1$ copies of $ a$ and $ n$ copies of $ -a$ for some odd integer $ a$. Combined with the work of Issa and McCoy, it follows that these are the only doubly slice odd pretzel knots.


中文翻译:

双片奇椒盐脆饼结

摘要:我们证明,如果奇数椒盐脆饼结的$ 2n + 1 $扭曲参数由某个奇数整数$ n + 1 $$ a $和的$ n $副本组成,则它是双重切片。结合Issa和McCoy的工作,可以得出结论,这些是唯一的双重切片的椒盐脆饼结。$ -a $$ a $
更新日期:2020-10-19
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