Now showing items 1-2 of 2

    • (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 ...
    • Seifert surfaces distinguished by sutured Floer homology but not its Euler characteristic 

      Vafaee, Faramarz (Topology and its Applications, 2015-04)
      © 2015 Elsevier B.V. In this paper we find a family of knots with trivial Alexander polynomial, and construct two non-isotopic Seifert surfaces for each member in our family. In order to distinguish the surfaces we study ...