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An infinite family of Legendrian torus knots distinguished by cube number
infinite family of Legendrian torus knots cube number
2011/2/24
For a knot K the cube number is a knot invariant de ned to be the smallest n for which
there is a cube diagram of size n for K.
Cyclic branched coverings of knots and quandle homology
quandle homology group homology cyclic branched covering
2011/2/22
We give a construction of quandle cocycles from group cocycles,especially quandle cocycles of the dihedral quandle Rp from group cocycles of the cyclic group Z/p.
A Connected Sum of Knots and Fintushel-Stern Knot Surgery on 4-manifolds
Knots 4-manifolds Fintushel-Stern Knot
2010/2/26
We give some new examples of smooth 4-manifolds which are diffeomorphic although they are obtained by Fintushel-Stern knot surgeries on a smooth 4-manifold with different knots; the first such example...