کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8904113 | 1633041 | 2018 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A construction of slice knots via annulus modifications
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
چکیده انگلیسی
We define an operation on a homology B4 that we call an n-twist annulus modification. We give a new construction of smoothly slice knots and exotically slice knots via n-twist annulus modifications. As an application, we present a new example of a smoothly slice knot with non-slice derivatives. Such examples were first discovered by Cochran and Davis. Also, we relate n-twist annulus modifications to n-fold annulus twists which was first introduced by Osoinach and has been used by Abe and Tange to construct smoothly slice knots. Furthermore we show that any exotic slice disk can be obtained by an annulus modification performed on some exotic slice disk bounding the unknot.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 238, 1 April 2018, Pages 1-19
Journal: Topology and its Applications - Volume 238, 1 April 2018, Pages 1-19
نویسندگان
JungHwan Park,