Quasi-alternating Links and Odd Homology: Computations and Conjectures
نویسندگان
چکیده
We present computational results about quasi-alternating knots and links and odd homology obtained by looking at link families in the Conway notation. More precisely, we list quasi-alternating links up to 12 crossings and the first examples of quasi-alternating knots and links with at least two different minimal diagrams, where one is quasi-alternating and the other is not. We provide examples of knots and links with n ≤ 12 crossings which are odd-homology thin and have no minimal quasi-alternating diagrams. These links are candidates for odd-homology thin links that are not quasi-alternating. Computations were performed by A. Shumakovitch’s program KhoHo, J. Hoste and M. Thistlethwaite’s program Knotscape, and our program LinKnot.
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