Obstructing finite surgery
classification
🧮 math.GT
keywords
ellipticknotmanifoldssurgeryarisingcorrectiond-invariantsfinite
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For a fixed p, there are only finitely many elliptic 3-manifolds given by p/q-surgery on a knot in S^3. We prove this result by using the Heegaard Floer correction terms (d-invariants) to obstruct elliptic manifolds from arising as knot surgery.
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