On property I for knots in 𝑆³

Zhang, Xingru

doi:10.1090/S0002-9947-1993-1154545-0

On property I for knots in $S^ 3$
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Trans. Amer. Math. Soc. 339 (1993), 643-657 Request permission

Abstract:

This paper deals with the question of which knot surgeries on ${S^3}$ can yield $3$-manifolds homeomorphic to, or with the same fundamental group as, the Poincaré homology $3$-sphere.

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Topics on Dehn surgery