Distance one lens space fillings and band surgery on the trefoil knot

Tye Lidman, Allison H. Moore, Mariel Vazquez

We prove that if the lens space $L(n,1)$ is obtained by a surgery along a knot in the lens space $L(3,1)$ that is distance one from the meridional slope, then $n$ is in $\{-6, \pm…