Boundary-reducing surgeries and bridge number

2015/12/31 by Baker, Kenneth L., Bowman, R. Sean, Luecke, John
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1512.09336

Abstract

Let M be a 3--dimensional handlebody of genus g. This paper gives examples of hyperbolic knots in M with arbitrarily large genus g bridge number which admit Dehn surgeries which are boundary-reducible manifolds.

Related

• Bridge number, Heegaard genus and non-integral Dehn surgery
• Genus bounds bridge number for high distance knots
• Exceptional surgeries on knots with exceptional classes
• Exceptional and cosmetic surgeries on knots
• Divisibility of great webs and reducible Dehn surgery