Blanchfield pairings and Gordian distance

被引：0

作者：

Friedl, Stefan ^{[1
]}

Kitayama, Takahiro ^{[2
]}

Suzuki, Masaaki ^{[3
]}

机构：

[1] Univ Regensburg, Dept Math, Regensburg, Germany

[2] Univ Tokyo, Grad Sch Math Sci, Tokyo, Japan

[3] Meiji Univ, Dept Frontier Media Sci, Tokyo, Japan

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2024年

关键词：

Gordian distance; Blanchfield pairing; knot; CLASSICAL INVARIANTS; UNKNOTTING NUMBER; KNOTS;

D O I：

10.1142/S0129167X24500526

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：24

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