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Independence of the Yoshikawa eighth move and a minimal generating set of band moves

Volume 251 / 2020

Michał Jabłonowski Fundamenta Mathematicae 251 (2020), 183-193 MSC: Primary 57K45. DOI: 10.4064/fm660-12-2019 Published online: 22 April 2020


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.


  • Michał JabłonowskiInstitute of Mathematics
    Faculty of Mathematics, Physics and Informatics
    University of Gdańsk
    Wita Stwosza 57
    80-308 Gdańsk, Poland

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