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Arc index of pretzel knots of type $(-p,q,r)$
knot pretzel knot arc presentation arc index Kauffman polynomial
2012/4/18
We computed the arc index for the pretzel knots $K=P(-p,q,r)$ with $p,q,r\ge2$, $r\geq q$ and at most one of $p,q,r$ is even. If $q=2$, then the arc index $\alpha(K)$ equals the minimal crossing numbe...
We study the representation spaces R(K; i) as appearing in Kronheimer and Mrowka's framed instanton knot Floer homology, for a class of pretzel knots. In particular, for pretzel knots P(p; q; r) with ...
This work gives the construction of an "activity matrix" whose determinant gives Tutte's activity words associated with spanning trees of the signed Tait graph coming from a pretzel knot diagram. Eva...