کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4659820 1344338 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Topological invariants of stable immersions of oriented 3-manifolds in R4
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Topological invariants of stable immersions of oriented 3-manifolds in R4
چکیده انگلیسی

We show that the Z-module of first order local Vassiliev type invariants of stable immersions of oriented 3-manifolds into R4 is generated by 3 topological invariants: The number of pairs of quadruple points and the positive and negative linking invariants ℓ+ and ℓ− introduced by V. Goryunov (1997) [7]. We obtain the expression for the Euler characteristic of the immersed 3-manifold in terms of these invariants. We also prove that the total number of connected components of the triple points curve is a non-local Vassiliev type invariant.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 159, Issue 2, 1 February 2012, Pages 420-429