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arxiv: 1011.6274 · v3 · pith:GJAAKSZTnew · submitted 2010-11-29 · 🧮 math.GT · math.SG

Knot surgery and Scharlemann manifolds

classification 🧮 math.GT math.SG
keywords knotmanifoldsscharlemannsurgeryalongcorollarydiscussexotically
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We discuss the relation between Fintushel-Stern knot surgery operation on 4-manifolds and Scharlemann manifolds, and as a corollary show that they all are standard. Along the way we show that the fishtail can exotically knot in the 4-sphere infinitely many ways.

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