Let H be a handlebody, J = { J1, …, Jn } a collection of 2-sided pairwise disjoint simple closed curves on H. The 3-manifold obtained from H by attaching 2-ha
<正>The Yetter-Drinfeld category of the Hopf algebra over a field is a pre braided category. In this paper we prove this result for the weak Hopf algebra. We st