The Quantum sl<sub>2</sub>-Invariant of a Family of Knots

• 作者: Abdul Rauf Nizami Malka Shah Bano Mobeen Munir
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: QUANTUM INVARIANT Jones Polynomial Braid KNOT
• 年，卷（期）: 2014,（1）
• 页码范围: 70-78
• 页数: 9页
• 分类号: O1

摘要

We give a general formula of the quantum sl2-invariant of a family of braid knots. To compute the quantum invariant of the links we use the Lie algebra g=sl2 in its standard two-dimensional representation. We also recover the Jones polynomial of these knots as a special case of this quantum invariant.