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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
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 twist parameters consisting of copies of and copies of for some odd integer . 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扭曲参数由某个奇数整数的和的副本组成,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。
更新日期:2020-10-19
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扭曲参数由某个奇数整数的和的副本组成,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。