论文标题

Blanchfield搭配和Gordian距离

Blanchfield pairings and Gordian distance

论文作者

Friedl, Stefan, Kitayama, Takahiro, Suzuki, Masaaki

论文摘要

戈迪安距离的下限是根据Blanchfield配对的。尤其是我们的方法使我们至少可以显示195对无定向的非平原结,最多10个十字架,它们的戈迪安距离等于3,其中大多数很难治疗。

A lower bound of the Gordian distance is presented in terms of the Blanchfield pairing. Our approach, in particular, allows us to show at least for 195 pairs of unoriented nontrivial prime knots with up to 10 crossings that their Gordian distance is equal to 3, most of which are difficult to treat otherwise.

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