Displaying similar documents to “The Heegaard genus of manifolds obtained by surgery on links and knots.”

Knots with property R + .

Clark, Bradd Evans (1983)

International Journal of Mathematics and Mathematical Sciences

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Knots of (canonical) genus two

A. Stoimenow (2008)

Fundamenta Mathematicae

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We give a description of all knot diagrams of canonical genus 2 and 3, and give applications to positive, alternating and homogeneous knots, including a classification of achiral genus 2 alternating knots, slice or achiral 2-almost positive knots, a proof of the 3- and 4-move conjectures, and the calculation of the maximal hyperbolic volume for canonical (weak) genus 2 knots. We also study the values of the link polynomials at roots of unity, extending denseness results of Jones. Using...

A note on unlinking numbers of Montesinos links.

K. Motegi (1996)

Revista Matemática de la Universidad Complutense de Madrid

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Let K (resp. L) be a Montesinos knot (resp. link) with at least four branches. Then we show the unknotting number (resp. unlinking number) of K (resp. L) is greater than 1.