Hyperbolic Brunnian Theta Curves

Luis Celso Chan Palomo, Scott A. Taylor

A nontrivial $\hat{I}¸$-curve in $S^3$ is Brunnian if each of its cycles is the unknot. We show that if the exterior of a Brunnian $\hat{I}¸$-curve is atoroidal, then it does not contain an es…