Three lens space summands from the Poincar\'e homology sphere
Abstract
A regular fiber of the Seifert fibering of the Poincar\'e homology sphere admits a Dehn surgery to L(2,1)\#L(3,2)\#L(5,4). We prove that this is the only knot in the Poincar\'e homology sphere with a surgery to a connected sum of more than two lens spaces.
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