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arxiv: 1512.09336 · v1 · pith:XWH2WXT7new · submitted 2015-12-31 · 🧮 math.GT

Boundary-reducing surgeries and bridge number

classification 🧮 math.GT
keywords bridgegenusnumbersurgeriesadmitarbitrarilyboundary-reducibleboundary-reducing
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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.

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