The Conway polynomials and Self Delta-equivalence of pretzel links
Yasutaka Nakanishi, Tetsuo Shibuya, Tatsuya Tsukamoto
TL;DR
This paper investigates the self delta-equivalence of pretzel links, providing complete invariants for 2-component links and a criterion for links with 3 or more components.
Contribution
It offers a complete classification for 2-component pretzel links using Conway polynomials and establishes a necessary and sufficient condition for higher-component links.
Findings
Complete invariants for 2-component pretzel links via Conway polynomial
Necessary and sufficient condition for self delta-equivalence in multi-component links
Calculation of Conway polynomial values for pretzel links
Abstract
In this paper, we study the self delta-equivalence of pretzel links. If the number of components is 2, then we know the complete invariants in terms of the Conway polynomial for classification. We calculate the values. For pretzel links with more than or equal to 3 components, we give a necessary and sufficient condition to be self delta-equivalent.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.