Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657786 | Topology and its Applications | 2016 | 6 Pages |
Abstract
We study 2-adjacency between a 3-strand pretzel link with two components and the trivial link, and whether the trivial knot is 2-adjacent to a pretzel knot. By investigating mainly the coefficients of their Conway polynomials, Jones polynomials and etc., we show that any nontrivial pretzel link with two-components is not 2-adjacent to the trivial link, and vice versa. Moreover, we also show that the trivial knot is not 2-adjacent to any nontrivial pretzel knot.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Zhi-Xiong Tao,