Now showing items 1-5 of 5

    • 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 ...
    • On the Knot Floer Homology of Twisted Torus Knots 

      Vafaee, Faramarz (International Mathematics Research Notices, 2015)
      © 2014 The Author(s) 2014. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oup.com. In this paper, we study the knot Floer homology of a subfamily of twisted ...
    • Satellites of Legendrian knots and representations of the Chekanov–Eliashberg algebra 

      Ng, Lenhard; Rutherford, Daniel (Algebraic & Geometric Topology, 2013-08-01)
      We develop a close relation between satellites of Legendrian knots in ℝ3and the Chekanov-Eliashberg differential graded algebra of the knot. In particular, we generalize the well-known correspondence between rulings of a ...
    • Topological strings, D-model, and knot contact homology 

      Ng, Lenhard; Vafa, Cumrun; Aganagic, Mina; Ekholm, Tobias (Advances in Theoretical and Mathematical Physics, 2014)
      © 2014 International Press. We study the connection between topological strings and contact homology recently proposed in the context of knot invariants. In particular, we establish the proposed relation between the Gromov- ...