Abstract
Cromwell introduced the notion of an arc presentation of a knot. An arc presentation is an embedding of a knot in an open-book. In this note, we define a transformation on an arc presentation called a page move, and prove that any knot is transformed into the trivial knot by a single page move. We also study a relationship with the unknotting number.
Citation
Masayuki Matsuo. "Page moves on arc presentations." Hiroshima Math. J. 44 (2) 217 - 221, July 2014. https://doi.org/10.32917/hmj/1408972908
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