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math.GT2010★ 8 cited
The lens space realization problem
Joshua Evan Greene
We determine the lens spaces that arise by integer Dehn surgery along a knot in the three-sphere. Specifically, if surgery along a knot produces a lens space, then there exists an…
math.GT2010
L-space surgeries, genus bounds, and the cabling conjecture
Joshua Evan Greene
We prove that if positive integer p-surgery along a knot K \subset S^3 produces an L-space and it bounds a sharp 4-manifold, then the knot genus obeys the bound 2g(K) -1 \leq p - \…