کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5777869 | 1633051 | 2017 | 42 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hyperbolic H-knots in non-trivial lens spaces are not determined by their complement
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
If a knot K in a lens space M is not determined by its complement then there exists a non-trivial r-Dehn surgery on K which produces M. If this surgery conserves a Heegaard diagram of M, i.e. there exists a Heegaard solid torus V which is still a Heegaard solid torus after the r-Dehn surgery, the knot is said to be a H-knot. The knot of S. A. Bleiler, C. D. Hodgson and J. R. Weeks [2] is such a knot, and is hyperbolic. In [12] it is shown that non-hyperbolic knots are determined by their complements in lens spaces, except axes in L(p,q) when q2â¢Â±1modp. Here, the goal is to see that hyperbolic H-knots are not determined by their complements, i.e. there is no automorphism onto the complement which sends the meridian slope to the r-slope.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 228, 1 September 2017, Pages 391-432
Journal: Topology and its Applications - Volume 228, 1 September 2017, Pages 391-432
نویسندگان
Daniel Matignon,