التفاصيل البيبلوغرافية
| العنوان: |
Khovanov Homology of Three-Strand Braid Links. |
| المؤلفون: |
Kwun, Young Chel, Nizami, Abdul Rauf, Munir, Mobeen, Iqbal, Zaffar, Arshad, Dishya, Min Kang, Shin |
| المصدر: |
Symmetry (20738994); Dec2018, Vol. 10 Issue 12, p720, 1p |
| مصطلحات موضوعية: |
POLYNOMIALS, BRAID theory, EULER method, HOMOLOGY theory, HOMOTOPY theory |
| مستخلص: |
Khovanov homology is a categorication of the Jones polynomial. It consists of graded chain complexes which, up to chain homotopy, are link invariants, and whose graded Euler characteristic is equal to the Jones polynomial of the link. In this article we give some Khovanov homology groups of 3-strand braid links Δ 2 k + 1 = x 1 2 k + 2 x 2 x 1 2 x 2 2 x 1 2 ⋯ x 2 2 x 1 2 x 1 2 , Δ 2 k + 1 x 2 , and Δ 2 k + 1 x 1 , where Δ is the Garside element x 1 x 2 x 1 , and which are three out of all six classes of the general braid x 1 x 2 x 1 x 2 ⋯ with n factors. [ABSTRACT FROM AUTHOR] |
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