Invariants Of 3-braid And 4-braid Links

الموضوعات

علوم بحتة وطبيعية

الملخص

In this study, we established a connection between the Chebyshev polynomial of the first kind and the Jones polynomial of generalized weaving knots of type W (3,n,m). Through our analysis, we demonstrated that the coefficients of the Jones polynomial of weaving knots are essentially the Whitney numbers of Lucas lattices which allowed us to find an explicit formula for the Alexander polynomial of weaving knots of type W (3,n). In addition to confirming Fox’s trapezoidal conjecture, we also discussed the zeroes of the Alexander Polynomial of weaving knots of type W (3,n) as they relate to Hoste’s conjecture. In addition, we computed the signatures for a family of alternating knots and established useful theorems about some properties related to trapezoidal polynomials. We used these findings to prove that for alternating knots obtained from the closure of two different classes of 4-braid knots they yield Alexander Polynomials which satisfy Fox’s trapezoidal conjecture.

روابط وملفات

التعريف والنوع

رقم الوثيقة

f29d96ff-4827-47a9-9b5d-d9e64130c869

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

2325525_2.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"Mark Essa King Sukaiti","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":"Nafaa Chbili","title_ar":"اشراف","title_en":"Supervision"}]

اللغة

English

المصدر والدورية

اسم المصدر

Invariants Of 3-braid And 4-braid Links

المحتوى والصفحات

عدد الصفحات

0

إشراف وإعداد

الإشراف

Nafaa Chbili

الإعداد

Mark Essa King Sukaiti

الاقتباسات الببليوغرافية