Three lens space summands from the Poincaré 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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