Name Hiromasa Moriuchi Osaka City University Advanced Mathematical Institute (OCAMI) Session Jan 11 15:20~15:50 E11-101 On connected sum of generalized Kinoshita's theta-curves Kinoshita's theta-curve $\theta(1,1,1)$ is locally unknotted theta-curve, that is, its constituent knots are all trivial. We obtain generalized Kinoshita's theta-curve $\theta(i,j,k)$ by adding full-twists to $\theta(1,1,1)$. In this talk we discuss about order-3 vertex connected sums of $\theta(i,j,k)$ and $\theta(i',j',k')$. 101-1-11/Jan11_1520-1550_101(Moriuchi).pdf