کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665929 1633833 2014 34 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Donaldson's theorem, Heegaard Floer homology, and knots with unknotting number one
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Donaldson's theorem, Heegaard Floer homology, and knots with unknotting number one
چکیده انگلیسی

We establish an obstruction to unknotting an alternating knot by a single crossing change. The obstruction is lattice-theoretic in nature, and combines Donaldson's diagonalization theorem with an obstruction developed by Ozsváth and Szabó using Heegaard Floer homology. As an application, we enumerate the alternating 3-braid knots with unknotting number one, and show that each has an unknotting crossing in its standard alternating diagram.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 255, 1 April 2014, Pages 672–705
نویسندگان
,