کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11592565 | 1342858 | 2019 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The HOMFLY polynomial of links in closed braid form
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We provide a new proof of Jaeger's formula expressing the HOMFLY polynomial of a link presented in closed braid form, replacing the original representation theoretic proof with an easy combinatorial and geometric argument. Using new variants of Jaeger's result we provide a direct and elementary proof of the fact that the braid index of a link that has an n-string closed braid diagram that is also reduced and alternating, is exactly n. Until now this fact was only known as a consequence of a result due to Murasugi on fibered links that are star products of elementary torus links and of the fact that alternating braids are fibered.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 342, Issue 1, January 2019, Pages 190-200
Journal: Discrete Mathematics - Volume 342, Issue 1, January 2019, Pages 190-200
نویسندگان
Pengyu Liu, Yuanan Diao, Gábor Hetyei,