کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8904080 1633040 2018 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Genus one fibered knots in 3-manifolds with reducible genus two Heegaard splittings
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Genus one fibered knots in 3-manifolds with reducible genus two Heegaard splittings
چکیده انگلیسی
We give a necessary and sufficient condition for a simple closed curve on the boundary of a genus two handlebody to decompose the handlebody into T×I (T is a torus with one boundary component). This condition provides a criterion whether a simple closed curve on a genus two Heegaard surface is a GOF-knot (genus one fibered knot) which induces the Heegaard splitting. By using this, we determine the number and the positions with respect to the Heegaard splittings of GOF-knots in the 3-manifolds with reducible genus two Heegaard splittings. This gives an alternative and unified proof of the results of Morimoto [12] and Baker [2], [3].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 239, 15 April 2018, Pages 46-64
نویسندگان
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