论文标题
交替的怪椒盐脆饼结和手性化妆品手术
Alternating odd pretzel knots and chirally cosmetic surgeries
论文作者
论文摘要
如果结成相反方向的同构歧管，则一对结上的手术是手性化妆的。使用了iChihara，ito和saito的最新方法，我们表明，除了（2,5）和（2,7） - torus结外，第2属和3属交替的奇特椒盐脆饼结不接受任何精心的化妆品。此外，我们表明，对于固定属，最多有限的许多交替椒盐脆饼结都接受了整容手术。
A pair of surgeries on a knot is chirally cosmetic if they result in homeomorphic manifolds with opposite orientations. Using recent methods of Ichihara, Ito, and Saito, we show that, except for the (2,5) and (2,7)-torus knots, the genus 2 and 3 alternating odd pretzel knots do not admit any chirally cosmetic surgeries. Further, we show that for a fixed genus, at most finitely many alternating odd pretzel knots admit chirally cosmetic surgeries.
