Blanchfield pairings and Gordian distance

التفاصيل البيبلوغرافية
العنوان: Blanchfield pairings and Gordian distance
المؤلفون: Friedl, Stefan, Kitayama, Takahiro, Suzuki, Masaaki
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Geometric Topology, 57K10 (Primary), 57K31 (Secondary)
الوصف: 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.
Comment: 20 pages. Version 2 also includes computational results for composite knots
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2208.13327
رقم الأكسشن: edsarx.2208.13327
قاعدة البيانات: arXiv