Independence of the Yoshikawa eighth move and a minimal generating set of band moves
Volume 251 / 2020
Fundamenta Mathematicae 251 (2020), 183-193
MSC: Primary 57K45.
DOI: 10.4064/fm660-12-2019
Published online: 22 April 2020
Abstract
Yoshikawa moves were introduced a quarter-century ago and are still actively used by researchers. For any marked graph diagram we will define its twisted diagram and its mirror cut surface. By using a surface-link group of a mirror cut surface of a twisted diagram we will prove the independence of the Yoshikawa eighth move. As a consequence we will establish a minimal generating set of band moves for links with bands.
