Now showing items 1-3 of 3

    • (1,1) L-space knots 

      Vafaee, Faramarz; Greene, Joshua Evan; Lewallen, Sam (COMPOSITIO MATHEMATICA, 2018-05-01)
      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 slicing obstruction from the $\frac {10}{8}$ theorem 

      Vafaee, Faramarz; Donald, Andrew (Proceedings of the American Mathematical Society, 2016-08-29)
      © 2016 American Mathematical Society. From Furuta’s 10/8 theorem, we derive a smooth slicing obstruction for knots in S3 using a spin 4-manifold whose boundary is 0-surgery on a knot. We show that this obstruction is able ...
    • Berge–Gabai knots and L–space satellite operations 

      Vafaee, Faramarz; Hom, Jennifer; Lidman, Tye (Algebraic & Geometric Topology, 2015-01-15)
      © 2014 Mathematical Sciences Publishers. All rights reserved. Let P(K) be a satellite knot where the pattern P is a Berge–Gabai knot (ie a knot in the solid torus with a nontrivial solid torus Dehn surgery) and the companion ...