(1,1) L-space knots
  We characterize the (1, 1) knots in the three-sphere and lens spaces that admit non-trivial L-space surgeries. As a corollary, 1-bridge braids in these manifolds admit non- trivial L-space surgeries. We also recover a characterization of the Berge manifold amongst 1-bridge braid exteriors. 
Joshua Evan Greene, Sam Lewallen, Faramarz Vafaee
math.GT