کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4660496 1344372 2007 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Inequivalent surface-knots with the same knot quandle
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Inequivalent surface-knots with the same knot quandle
چکیده انگلیسی

We have a knot quandle and a fundamental class as invariants for a surface-knot. These invariants can be defined for a classical knot in a similar way, and it is known that the pair of them is a complete invariant for classical knots. In surface-knot theory the situation is different: There exist arbitrarily many inequivalent surface-knots of genus g with the same knot quandle, and there exist two inequivalent surface-knots of genus g with the same knot quandle and with the same fundamental class.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 154, Issue 15, 1 August 2007, Pages 2757-2763