کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658363 1633094 2015 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On colorability of knots by rotations, torus knot and PL trochoid
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
On colorability of knots by rotations, torus knot and PL trochoid
چکیده انگلیسی

The set consisting of all rotations of the Euclidean plane is equipped with a quandle structure. We show that a knot is colorable by this quandle if and only if its Alexander polynomial has a root on the unit circle in CC. Further we enumerate all non-trivial colorings of a torus knot diagram by the quandle using PL trochoids. As an application of these results, we have the complete factorization of the Alexander polynomial of the torus knot geometrically.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 183, 15 March 2015, Pages 36–44
نویسندگان
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