کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4659773 1344336 2012 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
State cycles which represent the canonical class of Leeʼs homology of a knot
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
State cycles which represent the canonical class of Leeʼs homology of a knot
چکیده انگلیسی

For a diagram of a knot, Lee associated a complex which is called Leeʼs complex. We introduce the notion of a state cycle of Leeʼs complex, which is a certain cycle of Leeʼs complex. We describe state cycles which represent the canonical class of Leeʼs homology of a knot. As a corollary, we give the shaper slice-Bennequin inequality for the Rasmussen invariant of a knot in the viewpoint of cycles of Leeʼs complex.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 159, Issue 4, 1 March 2012, Pages 1146-1158