In this paper, we give a structure theorem for c-incompressible Conway spheres in link complements in terms of the standard height function on . We go on to define the generalized Conway product of two links and . Provided satisfies minor additional hypotheses, we prove the lower bound for the bridge number of the generalized Conway product where is the distinguished factor. Finally, we present examples illustrating that this lower bound is tight.
Ryan C Blair. "Bridge number and Conway products." Algebr. Geom. Topol. 10 (2) 789 - 823, 2010. https://doi.org/10.2140/agt.2010.10.789