Hee Jeong Jang

collaborators

2 papers

math.GT2014

Crossing number of an alternating knot and canonical genus of its Whitehead double

Hee Jeong Jang, Sang Youl Lee

A conjecture proposed by J. Tripp in 2002 states that the crossing number of any knot coincides with the canonical genus of its Whitehead double. In the meantime, it has been estab…

math.GT2011

The canonical genus for Whitehead doubles of a family of alternating knots

Hee Jeong Jang, Sang Youl Lee

For any given integer $r \geq 1$ and a quasitoric braid $β_{r} = (σ_{r}^{- ε} σ_{r - 1}^{ε} ...$ $σ_{1}^{(- 1)^{r} ε})^{3}$ with $ε = \pm 1$ , we prove that the maximum degree in $z$ of the HOMFLYPT…