On 2-bridge knots with differing smooth and topological slice genera

Abstract

We give infinitely many examples of 2-bridge knots for which the topological and smooth slice genera differ. The smallest of these is the 12-crossing knot $12a255$. These also provide the first known examples of alternating knots for which the smooth and topological genera differ.

7 pages, 4 figures. Minor changes, including an updated title. Accepted for publication by Proceedings of the AMS

Cited by in corpus (4)

• On the topological 4-genus of torus knots
• The topological sliceness of 3-strand pretzel knots
• On calculating the slice genera of 11- and 12-crossing knots
• On classical upper bounds for slice genera