Communications in Analysis and Geometry
Volume 27 (2019)
Boundary-reducing surgeries and bridge number
Pages: 1417 – 1472
Let $M$ be a $3$-dimensional handlebody of genus $g \gt 1$. This paper gives examples of hyperbolic knots in $M$ with arbitrarily large genus $g$ bridge number which admit Dehn surgeries which yield boundary-reducible manifolds.
Received 2 April 2016
Accepted 14 August 2017
Published 30 December 2019