Modulo 2 Conway polynomials of rational links
Overview & Synopsis
We show that a polynomial is the modulo 2 Conway polynomial of a rational link if and only if it is a Fibonacci polynomial modulo 2. We deduce a simple proof of the Murasugi characterization of the modulo 2 Alexander polynomials of rational knots. We also deduce a fast algorithm to test when the Alexander polynomial of a rational knot $K$ is congruent to 1 modulo 2, which is a necessary condition for $K$ to be Lissajous.
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Document Information
| Document Title | Modulo 2 Conway polynomials of rational links |
|---|---|
| Author / Organization | Pierre-Vincent Koseleff, Daniel Pecker |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2010 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-229266 |
| Original Source Link | Visit Source Page on hal.science » |