What should I learn to understand Piccirillo's solution of Conway Knot?

110 Views Asked by At

I'm very curious to learn how Piccirilo proved that the Conway Knot is not slice. What should I study to understand her paper in details?

1

There are 1 best solutions below

0
On

Quick answer for what to study:

  • Rolfsen "Knots and Links" for knot theory; be sure to pay attention to things about surgeries.
  • Gompf and Stipsicz "4-manifolds and the Kirby calculus" for more details about that.
  • Probably Ozvath, Stipsicz, Szabo "Grid homology for knots and links" for Floer homology. (I don't know too much about this part of knot theory, and there might be better references.)
  • Bar-Natan's papers about Khovanov homology.

It's worth looking through the references of Piccirillo's paper, and references of references, but this should at least get you started.