کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4658662 | 1633113 | 2014 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Satellites of an oriented surface link and their local moves
ترجمه فارسی عنوان
ماهواره های پیوند سطحی و حرکت محلی آنها
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
چکیده انگلیسی
For an oriented surface link F in R4R4, we consider a satellite construction of a surface link, called a 2-dimensional braid over F, which is in the form of a covering over F. We introduce the notion of an m -chart on a surface diagram π(F)⊂R3π(F)⊂R3 of F , which is a finite graph on π(F)π(F) satisfying certain conditions and is an extended notion of an m-chart on a 2-disk presenting a surface braid. A 2-dimensional braid over F is presented by an m -chart on π(F)π(F). It is known that two surface links are equivalent if and only if their surface diagrams are related by a finite sequence of ambient isotopies of R3R3 and local moves called Roseman moves. We show that Roseman moves for surface diagrams with m-charts can be well-defined.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 164, 1 March 2014, Pages 113–124
Journal: Topology and its Applications - Volume 164, 1 March 2014, Pages 113–124
نویسندگان
Inasa Nakamura,