On the Stein framing number of a knot

Thomas E. Mark, Lisa Piccirillo, Faramarz Vafaee

For an integer $n$, write $X_n(K)$ for the 4-manifold obtained by attaching a 2-handle to the 4-ball along the knot $K\subset S^3$ with framing $n$. It is known that if $n< \overli…