Now showing items 1-3 of 3

    • 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 ...