most citedVirtual knots undetected by 1 and 2-strand bracket polynomials

3 citations

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3 papers

math.GT2005

Non-Trivial Realizations of Virtual Link Diagrams

H. A. Dye

A realization of a virtual link diagram is obtained by choosing over/under markings for each virtual crossing. Any realization can also be obtained from some representation of the…

math.DG2004

Sub-Finsler geometry in dimension three

Jeanne N. Clelland, Christopher G. Moseley

We define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian geometry with applications to optimal control theory. We compute a complete set of local…

math.GT2004★ 3 cited

Virtual knots undetected by 1 and 2-strand bracket polynomials

H. A. Dye

Kishino's knot is not detected by the fundamental group or the bracket polynomial; these invariants cannot differentiate between Kishino's knot and the unknot. However, we can show…