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arxiv: 1406.7198 · v1 · pith:UPEKY6TBnew · submitted 2014-06-27 · 🧮 math.GT

Non-integer surgery and branched double covers of alternating knots

classification 🧮 math.GT
keywords alternatingbrancheddoublemathbbsurgeryarisescovercovers
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We show that if the branched double cover of an alternating link arises as $p/q \in \mathbb{Q} \setminus \mathbb{Z}$ surgery on a knot in $S^3$, then this is exhibited by a rational tangle replacement in an alternating diagram.

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