کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4634522 | 1340694 | 2007 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An oriented state model for the Jones polynomial and its applications alternating links
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: An oriented state model for the Jones polynomial and its applications alternating links An oriented state model for the Jones polynomial and its applications alternating links](/preview/png/4634522.png)
چکیده انگلیسی
In this paper, we define a polynomial invariant of regular isotopy, GL, for oriented knot and link diagrams L. From GL by multiplying it by a normalizing factor, we obtain an ambient isotopy invariant, NL, for oriented knots and links. We compare the polynomial NL with the original Jones polynomial and with the normalized bracket polynomial. We show that the polynomial NL yields the Jones polynomial and the normalized bracket polynomial. As examples, we give the polynomial GL of some knot and link diagrams and compute the polynomial GL for torus links of type (2, n), and applying computer algebra (MAPLE) techniques, we calculate the polynomial GL of torus links of type (2, n). Furthermore we give its applications to alternating links.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 194, Issue 1, 1 December 2007, Pages 168–178
Journal: Applied Mathematics and Computation - Volume 194, Issue 1, 1 December 2007, Pages 168–178
نویسندگان
Ismet Altintas,