کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516951 | 1633127 | 2005 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Partial conjugations suffice
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In their 1990 classification of links up to link homotopy, Habegger and Lin prove a Markov-type theorem saying that two string links have link homotopic closures if and only if they are related by a sequence of conjugations and partial conjugations. In this paper we show that one can dispense with conjugations, in the sense that any change produced by conjugation can also be produced by an appropriately-chosen sequence of partial conjugations. We also give an interpretation of this result in terms of the action of 2n-component string links on n-component string links used by Habegger and Lin to prove their theorem. This interpretation suggests a canonical form for sequences of partial conjugations. These results simplify the Habegger-Lin classification scheme, as well as the still-open problem of classifying links up to link homotopy by means of a complete set of invariants.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 148, Issues 1â3, 28 February 2005, Pages 55-62
Journal: Topology and its Applications - Volume 148, Issues 1â3, 28 February 2005, Pages 55-62
نویسندگان
James R. Hughes,