On the nonorientable 4-genus of double twist knots

Jim Hoste, Patrick D. Shanahan, Cornelia A. Van Cott

We investigate the nonorientable 4-genus ${\gamma }_4$ of a special family of 2-bridge knots, the twist knots and double twist knots $C(m,n)$. Because the nonorientable 4-genus is bounded…