Obstructing finite surgery

Abstract

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.

16 pages

References in corpus (1)

• Finite surgeries on three-tangle pretzel knots

Cited by in corpus (2)

• The reduced knot Floer complex
• Integral Finite Surgeries on Knots in $S^3$