|Affiliation||Osaka City University Advanced Mathematical Institute (OCAMI)|
|Time||Jan 11 15:20~15:50|
|Title||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 $\theta(i',j',k')$.