Article ID Journal Published Year Pages File Type
4659761 Topology and its Applications 2012 15 Pages PDF
Abstract

In this paper, we give lower bounds of the braid indices of surface-links by represented 4-charts by quandle cocycle invariants. As a consequence, we show that the braid index of the connected sum of a spun trefoil and a 2-twist spun trefoil is five, which is a special case of Tanakaʼs Problem.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology