I have n-unknots (trivial knots) embedded in $S^3$ with the condition that they form an n-bridge link. I'm trying to find the different ways they can be put together.
So far I only have the trivial solution of an n-component unlink. In trying to find the bridge number of different link configurations, I'm somewhat at a loss, as all of the papers I've come across only apply to knots and not links. I haven't been able to find info on the bridge number for something even as simple as the Hopf link.
Please help! I suspect there aren't that many configurations, at least not compared to the n-bridge knot. Thank you!